 Eigsti has performed at the Hollywood Bowl, Carnegie Hall, Salle Pleyel, Red Rocks Amphitheatre, Royal Festival Hall, Konzerthaus, Vienna, Olympia Hall, Massey Hall, Lincoln Center for the Performing Arts, Louise M. Davies Symphony Hall, and many festivals including Montreal International Jazz Festival, North Sea Jazz Festival, Mosaic Music Festival (Singapore), Monterey Jazz Festival, Stockholm Jazz Festival, Istanbul International Jazz Festival, Quito Jazz Festival, Jakarta International Java Jazz Festival, Sydney Jazz Festival, Newport Jazz Festival, Chicago Jazz Festival, Toronto Jazz Festival.Eigsti has also been featured numerous times in various television specials, NPR appearances, commercials, and composed the theme music to the motion picture "Detachment" starring Oscar-winner Adrien Brody collaborating on the score with the Newton Brothers.In 2018, Eigsti was featured on a television special with Chris Botti for PBS's "Great Performances".