Studied cello with Claude Starck and composition with Joseph Haselbach at the Zurich Conservatory.
Studied for several years at the Aspen Music Festival with George Tsontakis, Jacob Druckman, and Bernard Rands.
In 1996 he won the music composition prize (Jacob Druckman Prize) at the Aspen Festival, and gained acclaim for his Violin Concerto (1993/94) when it was recorded with the Prague Symphony Orchestra and violinist Tomasz Tomaszewski.
He has been performed by a number of orchestras in the US and Europe including the Philharmonia Orchestra London, the Prague Symphony Orchestra, Tonhall Orchestra, Zurich Chamber Orchestra, and the Aspen Concert Orchestra.
Fabian Müller also holds an interest in music ethnology and studies old sources of Swiss folk music, which he collects and arranges.