 Over the course of his career, Škrbić played for Crvena zvezda (1988–1993), Atlético Madrid (1993–1994), Alzira (1994–1995), Ademar León (1995–1997), VfL Hameln (1997–1998), Celje (1998–2000), HSG Nordhorn (2000–2002) and Barcelona (2002–2007).At international level, Škrbić represented FR Yugoslavia in eight major tournaments, winning two bronze medals at the World Championships (1999 and 2001) and one bronze at the European Championships (1996).He also participated in the 2000 Summer Olympics.