diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2ba7ec153..d838c46f5 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -14,6 +14,7 @@ and this project adheres to [Semantic Versioning](http://semver.org/).
 ### Changed
 
 - `Placeholder` now sets its color cycle per app https://github.com/Textualize/textual/issues/2590
+- Footer now clears key highlight regardless of whether it's in the active screen or not https://github.com/Textualize/textual/issues/2606
 
 ### Removed
 
diff --git a/src/textual/app.py b/src/textual/app.py
index 05ae29922..7e02572d4 100644
--- a/src/textual/app.py
+++ b/src/textual/app.py
@@ -159,6 +159,38 @@ class ScreenStackError(ScreenError):
     """Raised when trying to manipulate the screen stack incorrectly."""
 
 
+class ModeError(Exception):
+    """Base class for exceptions related to modes."""
+
+
+class InvalidModeError(ModeError):
+    """Raised if there is an issue with a mode name."""
+
+
+class UnknownModeError(ModeError):
+    """Raised when attempting to use a mode that is not known."""
+
+
+class ActiveModeError(ModeError):
+    """Raised when attempting to remove the currently active mode."""
+
+
+class ModeError(Exception):
+    """Base class for exceptions related to modes."""
+
+
+class InvalidModeError(ModeError):
+    """Raised if there is an issue with a mode name."""
+
+
+class UnknownModeError(ModeError):
+    """Raised when attempting to use a mode that is not known."""
+
+
+class ActiveModeError(ModeError):
+    """Raised when attempting to remove the currently active mode."""
+
+
 class CssPathError(Exception):
     """Raised when supplied CSS path(s) are invalid."""
 
@@ -212,6 +244,35 @@ class App(Generic[ReturnType], DOMNode):
     }
     """
 
+    MODES: ClassVar[dict[str, str | Screen | Callable[[], Screen]]] = {}
+    """Modes associated with the app and their base screens.
+
+    The base screen is the screen at the bottom of the mode stack. You can think of
+    it as the default screen for that stack.
+    The base screens can be names of screens listed in [SCREENS][textual.app.App.SCREENS],
+    [`Screen`][textual.screen.Screen] instances, or callables that return screens.
+
+    Example:
+        ```py
+        class HelpScreen(Screen[None]):
+            ...
+
+        class MainAppScreen(Screen[None]):
+            ...
+
+        class MyApp(App[None]):
+            MODES = {
+                "default": "main",
+                "help": HelpScreen,
+            }
+
+            SCREENS = {
+                "main": MainAppScreen,
+            }
+
+            ...
+        ```
+    """
     SCREENS: ClassVar[dict[str, Screen | Callable[[], Screen]]] = {}
     """Screens associated with the app for the lifetime of the app."""
     _BASE_PATH: str | None = None
@@ -296,7 +357,10 @@ class App(Generic[ReturnType], DOMNode):
         self._workers = WorkerManager(self)
         self.error_console = Console(markup=False, stderr=True)
         self.driver_class = driver_class or self.get_driver_class()
-        self._screen_stack: list[Screen] = []
+        self._screen_stacks: dict[str, list[Screen]] = {"_default": []}
+        """A stack of screens per mode."""
+        self._current_mode: str = "_default"
+        """The current mode the app is in."""
         self._sync_available = False
 
         self.mouse_over: Widget | None = None
@@ -528,7 +592,19 @@ class App(Generic[ReturnType], DOMNode):
         Returns:
             A snapshot of the current state of the screen stack.
         """
-        return self._screen_stack.copy()
+        return self._screen_stacks[self._current_mode].copy()
+
+    @property
+    def _screen_stack(self) -> list[Screen]:
+        """A reference to the current screen stack.
+
+        Note:
+            Consider using [`screen_stack`][textual.app.App.screen_stack] instead.
+
+        Returns:
+            A reference to the current screen stack.
+        """
+        return self._screen_stacks[self._current_mode]
 
     def exit(
         self, result: ReturnType | None = None, message: RenderableType | None = None
@@ -676,6 +752,8 @@ class App(Generic[ReturnType], DOMNode):
         """
         try:
             return self._screen_stack[-1]
+        except KeyError:
+            raise UnknownModeError(f"No known mode {self._current_mode!r}") from None
         except IndexError:
             raise ScreenStackError("No screens on stack") from None
 
@@ -1321,6 +1399,88 @@ class App(Generic[ReturnType], DOMNode):
         """
         return self.mount(*widgets, before=before, after=after)
 
+    def _init_mode(self, mode: str) -> None:
+        """Do internal initialisation of a new screen stack mode."""
+
+        stack = self._screen_stacks.get(mode, [])
+        if not stack:
+            _screen = self.MODES[mode]
+            if callable(_screen):
+                screen, _ = self._get_screen(_screen())
+            else:
+                screen, _ = self._get_screen(self.MODES[mode])
+            stack.append(screen)
+        self._screen_stacks[mode] = [screen]
+
+    def switch_mode(self, mode: str) -> None:
+        """Switch to a given mode.
+
+        Args:
+            mode: The mode to switch to.
+
+        Raises:
+            UnknownModeError: If trying to switch to an unknown mode.
+        """
+        if mode not in self.MODES:
+            raise UnknownModeError(f"No known mode {mode!r}")
+
+        self.screen.post_message(events.ScreenSuspend())
+        self.screen.refresh()
+
+        if mode not in self._screen_stacks:
+            self._init_mode(mode)
+        self._current_mode = mode
+        self.screen._screen_resized(self.size)
+        self.screen.post_message(events.ScreenResume())
+        self.log.system(f"{self._current_mode!r} is the current mode")
+        self.log.system(f"{self.screen} is active")
+
+    def add_mode(
+        self, mode: str, base_screen: str | Screen | Callable[[], Screen]
+    ) -> None:
+        """Adds a mode and its corresponding base screen to the app.
+
+        Args:
+            mode: The new mode.
+            base_screen: The base screen associated with the given mode.
+
+        Raises:
+            InvalidModeError: If the name of the mode is not valid/duplicated.
+        """
+        if mode == "_default":
+            raise InvalidModeError("Cannot use '_default' as a custom mode.")
+        elif mode in self.MODES:
+            raise InvalidModeError(f"Duplicated mode name {mode!r}.")
+
+        self.MODES[mode] = base_screen
+
+    def remove_mode(self, mode: str) -> None:
+        """Removes a mode from the app.
+
+        Screens that are running in the stack of that mode are scheduled for pruning.
+
+        Args:
+            mode: The mode to remove. It can't be the active mode.
+
+        Raises:
+            ActiveModeError: If trying to remove the active mode.
+            UnknownModeError: If trying to remove an unknown mode.
+        """
+        if mode == self._current_mode:
+            raise ActiveModeError(f"Can't remove active mode {mode!r}")
+        elif mode not in self.MODES:
+            raise UnknownModeError(f"Unknown mode {mode!r}")
+        else:
+            del self.MODES[mode]
+
+        if mode not in self._screen_stacks:
+            return
+
+        stack = self._screen_stacks[mode]
+        del self._screen_stacks[mode]
+        for screen in reversed(stack):
+            self._replace_screen(screen)
+
     def is_screen_installed(self, screen: Screen | str) -> bool:
         """Check if a given screen has been installed.
 
@@ -1397,7 +1557,9 @@ class App(Generic[ReturnType], DOMNode):
             self.screen.refresh()
         screen.post_message(events.ScreenSuspend())
         self.log.system(f"{screen} SUSPENDED")
-        if not self.is_screen_installed(screen) and screen not in self._screen_stack:
+        if not self.is_screen_installed(screen) and all(
+            screen not in stack for stack in self._screen_stacks.values()
+        ):
             screen.remove()
             self.log.system(f"{screen} REMOVED")
         return screen
@@ -1498,13 +1660,13 @@ class App(Generic[ReturnType], DOMNode):
             if screen not in self._installed_screens:
                 return None
             uninstall_screen = self._installed_screens[screen]
-            if uninstall_screen in self._screen_stack:
+            if any(uninstall_screen in stack for stack in self._screen_stacks.values()):
                 raise ScreenStackError("Can't uninstall screen in screen stack")
             del self._installed_screens[screen]
             self.log.system(f"{uninstall_screen} UNINSTALLED name={screen!r}")
             return screen
         else:
-            if screen in self._screen_stack:
+            if any(screen in stack for stack in self._screen_stacks.values()):
                 raise ScreenStackError("Can't uninstall screen in screen stack")
             for name, installed_screen in self._installed_screens.items():
                 if installed_screen is screen:
@@ -1949,12 +2111,12 @@ class App(Generic[ReturnType], DOMNode):
     async def _close_all(self) -> None:
         """Close all message pumps."""
 
-        # Close all screens on the stack.
-        for stack_screen in reversed(self._screen_stack):
-            if stack_screen._running:
-                await self._prune_node(stack_screen)
-
-        self._screen_stack.clear()
+        # Close all screens on all stacks:
+        for stack in self._screen_stacks.values():
+            for stack_screen in reversed(stack):
+                if stack_screen._running:
+                    await self._prune_node(stack_screen)
+            stack.clear()
 
         # Close pre-defined screens.
         for screen in self.SCREENS.values():
@@ -2139,7 +2301,7 @@ class App(Generic[ReturnType], DOMNode):
         # Handle input events that haven't been forwarded
         # If the event has been forwarded it may have bubbled up back to the App
         if isinstance(event, events.Compose):
-            screen = Screen(id="_default")
+            screen = Screen(id=f"_default")
             self._register(self, screen)
             self._screen_stack.append(screen)
             screen.post_message(events.ScreenResume())
diff --git a/src/textual/widgets/_footer.py b/src/textual/widgets/_footer.py
index a52e05785..b5e772ab6 100644
--- a/src/textual/widgets/_footer.py
+++ b/src/textual/widgets/_footer.py
@@ -79,8 +79,7 @@ class Footer(Widget):
 
     def _on_leave(self, _: events.Leave) -> None:
         """Clear any highlight when the mouse leaves the widget"""
-        if self.screen.is_current:
-            self.highlight_key = None
+        self.highlight_key = None
 
     def __rich_repr__(self) -> rich.repr.Result:
         yield from super().__rich_repr__()

diff --git a/tests/test_footer.py b/tests/test_footer.py
new file mode 100644
index 000000000..26e46cf29
--- /dev/null
+++ b/tests/test_footer.py
@@ -0,0 +1,28 @@
+from textual.app import App, ComposeResult
+from textual.geometry import Offset
+from textual.screen import ModalScreen
+from textual.widgets import Footer, Label
+
+
+async def test_footer_highlight_when_pushing_modal():
+    """Regression test for https://github.com/Textualize/textual/issues/2606"""
+
+    class MyModalScreen(ModalScreen):
+        def compose(self) -> ComposeResult:
+            yield Label("apple")
+
+    class MyApp(App[None]):
+        BINDINGS = [("a", "p", "push")]
+
+        def compose(self) -> ComposeResult:
+            yield Footer()
+
+        def action_p(self):
+            self.push_screen(MyModalScreen())
+
+    app = MyApp()
+    async with app.run_test(size=(80, 2)) as pilot:
+        await pilot.hover(None, Offset(0, 1))
+        await pilot.click(None, Offset(0, 1))
+        assert isinstance(app.screen, MyModalScreen)
+        assert app.screen_stack[0].query_one(Footer).highlight_key is None
diff --git a/tests/test_screen_modes.py b/tests/test_screen_modes.py
new file mode 100644
index 000000000..6fd5c185d
--- /dev/null
+++ b/tests/test_screen_modes.py
@@ -0,0 +1,277 @@
+from functools import partial
+from itertools import cycle
+from typing import Type
+
+import pytest
+
+from textual.app import (
+    ActiveModeError,
+    App,
+    ComposeResult,
+    InvalidModeError,
+    UnknownModeError,
+)
+from textual.screen import ModalScreen, Screen
+from textual.widgets import Footer, Header, Label, TextLog
+
+FRUITS = cycle("apple mango strawberry banana peach pear melon watermelon".split())
+
+
+class ScreenBindingsMixin(Screen[None]):
+    BINDINGS = [
+        ("1", "one", "Mode 1"),
+        ("2", "two", "Mode 2"),
+        ("p", "push", "Push rnd scrn"),
+        ("o", "pop_screen", "Pop"),
+        ("r", "remove", "Remove mode 1"),
+    ]
+
+    def action_one(self) -> None:
+        self.app.switch_mode("one")
+
+    def action_two(self) -> None:
+        self.app.switch_mode("two")
+
+    def action_fruits(self) -> None:
+        self.app.switch_mode("fruits")
+
+    def action_push(self) -> None:
+        self.app.push_screen(FruitModal())
+
+
+class BaseScreen(ScreenBindingsMixin):
+    def __init__(self, label):
+        super().__init__()
+        self.label = label
+
+    def compose(self) -> ComposeResult:
+        yield Header()
+        yield Label(self.label)
+        yield Footer()
+
+    def action_remove(self) -> None:
+        self.app.remove_mode("one")
+
+
+class FruitModal(ModalScreen[str], ScreenBindingsMixin):
+    BINDINGS = [("d", "dismiss_fruit", "Dismiss")]
+
+    def compose(self) -> ComposeResult:
+        yield Label(next(FRUITS))
+
+
+class FruitsScreen(ScreenBindingsMixin):
+    def compose(self) -> ComposeResult:
+        yield TextLog()
+
+
+@pytest.fixture
+def ModesApp():
+    class ModesApp(App[None]):
+        MODES = {
+            "one": lambda: BaseScreen("one"),
+            "two": "screen_two",
+        }
+
+        SCREENS = {
+            "screen_two": lambda: BaseScreen("two"),
+        }
+
+        def on_mount(self):
+            self.switch_mode("one")
+
+    return ModesApp
+
+
+async def test_mode_setup(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test():
+        assert isinstance(app.screen, BaseScreen)
+        assert str(app.screen.query_one(Label).renderable) == "one"
+
+
+async def test_switch_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        await pilot.press("2")
+        assert str(app.screen.query_one(Label).renderable) == "two"
+        await pilot.press("1")
+        assert str(app.screen.query_one(Label).renderable) == "one"
+
+
+async def test_switch_same_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        await pilot.press("1")
+        assert str(app.screen.query_one(Label).renderable) == "one"
+        await pilot.press("1")
+        assert str(app.screen.query_one(Label).renderable) == "one"
+
+
+async def test_switch_unknown_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test():
+        with pytest.raises(UnknownModeError):
+            app.switch_mode("unknown mode here")
+
+
+async def test_remove_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        app.switch_mode("two")
+        await pilot.pause()
+        assert str(app.screen.query_one(Label).renderable) == "two"
+        app.remove_mode("one")
+        assert "one" not in app.MODES
+
+
+async def test_remove_active_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test():
+        with pytest.raises(ActiveModeError):
+            app.remove_mode("one")
+
+
+async def test_add_mode(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        app.add_mode("three", BaseScreen("three"))
+        app.switch_mode("three")
+        await pilot.pause()
+        assert str(app.screen.query_one(Label).renderable) == "three"
+
+
+async def test_add_mode_duplicated(ModesApp: Type[App]):
+    app = ModesApp()
+    async with app.run_test():
+        with pytest.raises(InvalidModeError):
+            app.add_mode("one", BaseScreen("one"))
+
+
+async def test_screen_stack_preserved(ModesApp: Type[App]):
+    fruits = []
+    N = 5
+
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        # Build the stack up.
+        for _ in range(N):
+            await pilot.press("p")
+            fruits.append(str(app.query_one(Label).renderable))
+
+        assert len(app.screen_stack) == N + 1
+
+        # Switch out and back.
+        await pilot.press("2")
+        assert len(app.screen_stack) == 1
+        await pilot.press("1")
+
+        # Check the stack.
+        assert len(app.screen_stack) == N + 1
+        for _ in range(N):
+            assert str(app.query_one(Label).renderable) == fruits.pop()
+            await pilot.press("o")
+
+
+async def test_inactive_stack_is_alive():
+    """This tests that timers in screens outside the active stack keep going."""
+    pings = []
+
+    class FastCounter(Screen[None]):
+        def compose(self) -> ComposeResult:
+            yield Label("fast")
+
+        def on_mount(self) -> None:
+            self.set_interval(0.01, self.ping)
+
+        def ping(self) -> None:
+            pings.append(str(self.app.query_one(Label).renderable))
+
+        def key_s(self):
+            self.app.switch_mode("smile")
+
+    class SmileScreen(Screen[None]):
+        def compose(self) -> ComposeResult:
+            yield Label(":)")
+
+        def key_s(self):
+            self.app.switch_mode("fast")
+
+    class ModesApp(App[None]):
+        MODES = {
+            "fast": FastCounter,
+            "smile": SmileScreen,
+        }
+
+        def on_mount(self) -> None:
+            self.switch_mode("fast")
+
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        await pilot.press("s")
+        assert str(app.query_one(Label).renderable) == ":)"
+        await pilot.press("s")
+        assert ":)" in pings
+
+
+async def test_multiple_mode_callbacks():
+    written = []
+
+    class LogScreen(Screen[None]):
+        def __init__(self, value):
+            super().__init__()
+            self.value = value
+
+        def key_p(self) -> None:
+            self.app.push_screen(ResultScreen(self.value), written.append)
+
+    class ResultScreen(Screen[str]):
+        def __init__(self, value):
+            super().__init__()
+            self.value = value
+
+        def key_p(self) -> None:
+            self.dismiss(self.value)
+
+        def key_f(self) -> None:
+            self.app.switch_mode("first")
+
+        def key_o(self) -> None:
+            self.app.switch_mode("other")
+
+    class ModesApp(App[None]):
+        MODES = {
+            "first": lambda: LogScreen("first"),
+            "other": lambda: LogScreen("other"),
+        }
+
+        def on_mount(self) -> None:
+            self.switch_mode("first")
+
+        def key_f(self) -> None:
+            self.switch_mode("first")
+
+        def key_o(self) -> None:
+            self.switch_mode("other")
+
+    app = ModesApp()
+    async with app.run_test() as pilot:
+        # Push and dismiss ResultScreen("first")
+        await pilot.press("p")
+        await pilot.press("p")
+        assert written == ["first"]
+
+        # Push ResultScreen("first")
+        await pilot.press("p")
+        # Switch to LogScreen("other")
+        await pilot.press("o")
+        # Push and dismiss ResultScreen("other")
+        await pilot.press("p")
+        await pilot.press("p")
+        assert written == ["first", "other"]
+
+        # Go back to ResultScreen("first")
+        await pilot.press("f")
+        # Dismiss ResultScreen("first")
+        await pilot.press("p")
+        assert written == ["first", "other", "first"]

Pushing a screen should send Leave message
If you have an action that opens a screen, it leaves the footer stuck in the highlight state.

I think we need to call `_set_mouse_over(None)` on the current screen when pushing another screen.
tests/test_footer.py::test_footer_highlight_when_pushing_modal tests/test_screen_modes.py::test_mode_setup tests/test_screen_modes.py::test_switch_mode tests/test_screen_modes.py::test_switch_same_mode tests/test_screen_modes.py::test_switch_unknown_mode tests/test_screen_modes.py::test_remove_mode tests/test_screen_modes.py::test_remove_active_mode tests/test_screen_modes.py::test_add_mode tests/test_screen_modes.py::test_add_mode_duplicated tests/test_screen_modes.py::test_screen_stack_preserved tests/test_screen_modes.py::test_inactive_stack_is_alive tests/test_screen_modes.py::test_multiple_mode_callbacks