Gasperini was sacked at the start of February following a 2-1 defeat by Atalanta and replaced by Alberto Toresani who was himself dismissed a week ago after three matches, all of them draws.
Gasperini was then given another chance by Palermo's eccentric president Maurizio Zamparini.
Palermo, who fired Giuseppe Sannino three games into the season, have not won in their last 13 outings and are joint-bottom with 21 points from 27 games, alongside Pescara and Siena who were playing later on Sunday.
The Sicilians lived dangerously throughout the match as Rolando Bianchi hit the post for Torino in the first half and Giuseppe Vives fired over the bar from close range. Torino missed a host of other chances.
Fiorentina beat Chievo 2-1 and Argentine 20-year-old Mauro Icardi gave Sampdoria a 1-0 win over Parma.
Inconsistent Fiorentina, who are two points behind Inter in sixth, dominated their game against Chievo but missed a glut of chances and needed a 78th-minute header from Marcelo Larrondo to win 2-1.
Pescara were beaten by an Antonio Di Natale goal at home to Udinese, and Siena lost 2-0 at home to Atalanta with Giacomo Bonaventura scoring both.