In 1990 Annoni joined Torino. He quickly became popular with the fans who nicknamed him 'Tarzan'. He picked up his first silverware in June 1991 when Torino beat Pisa in the final of the Mitropa Cup. He was then part of the Torino side that reached the UEFA Cup Final in 1992, playing in all the games leading up to the final and scoring in the first round against Knattspyrnufélag Reykjavíkur and second round against Boavista. Annoni played in the first leg of the final against Ajax, a 2–2 draw at home, but missed the second leg through suspension. That match finished 0–0, with Ajax winning the UEFA Cup on the away goals rule.