Former Manchester City forward Rolando Bianchi and defender Riccardo Colombo were slapped after being surrounded by a group of about 25 people, Torino's players said on the club's official website on Thursday.
The group then entered the restaurant where forward David Di Michele was celebrating his birthday and directed "slaps, threats of death and assaults at home, and pushes" at other players in front of their families, the statement said.
The AIC said it "expresses totally solidarity with the Torino players who suffered a vile ambush, attacked outside a restaurant after dinner with their families, and firmly condemns this shameful incident".
"The repetition of such appalling episodes will force the AIC to resort to appropriate acts of protest," it added on its website.
The Torino players also said they were considering giving a "strong signal" of protest.
Giancarlo Abete, the head of the Italian Football Federation, described the incident as "shameful."
