Torricelli made his debut in Serie A on 13 September 1992 in a 4–1 win for Juventus against Atalanta. He quickly became a permanent starter in his first season and went on to play in the UEFA Cup-winning side that beat Borussia Dortmund in 1993. A player with a lot of heart and determination, despite his lack of skill, he was able to feature prominently in one of the best back-lines in Europe, and was capable of commanding all the roles in the Juventus defence, although his preferred position was at right-back. During his time at Juventus, the Turin club were one of the best teams in the world, and, in addition to the UEFA Cup, he won three Serie A titles, two Italian Supercups, a Coppa Italia, a UEFA Champions League, a UEFA Super Cup, and an Intercontinental Cup, in addition to reaching three consecutive Champions League finals between 1996 and 1998, and another UEFA Cup final in 1995.