Alexander Besa was born into an Italian-Czech family of musicians. He began playing the violin at the age of seven, later switching to the viola under Alois Moráň at the Brno Conservatory, Czech Republic. Further studies followed under Alberto Lysy, Sir Yehudi Menuhin, Johannes Eskar and Paul Coletti at the International Menuhin Music Academy, Gstaad and under Christoph Schiller at the Musik-Akademie Basel (soloist diploma 1996).
Alexander Besa won the Beethoven's Hradec competition in 1994, the Wettbewerb der Konservatorien in 1987 and the Hans-Schäuble Competition in Lausanne in 1995. Moreover, 1997 saw him ranked amongst the winners in the Lionel Tertis Viola Competition on the Isle of Man, UK. He has won several chamber music competitions in Italy with the Serenade String Trio.
Alexander Besa devotes his time to appearances as a soloist, chamber musician and orchestral musician. He is also a regular juror for the Beethoven's Hradec viola competition, and he leads courses at the Play@ Amateurorchesterwoche of the Gstaad Menuhin Festival.
His time as solo viola player with the Camerata Bern from 1994 to 2012 was seminal to his musical development. Since 1996 he has been the Principal Viola of the Lucerne Symphony Orchestra and appears regularly with the Cappella Andrea Barca and Sir András Schiff.