The Spaniard has been repeatedly linked with a move away from the Blues this summer as he struggles for form in the Premier League.
Inter president Erick Thohir recently claimed that Torres was on the club's radar, and Fassone has now suggested that the Nerazzurri may try to lure him to Serie A at the end of the season.
"He is one of the names that interest us, as admitted by our president Erick Thohir in recent days," Fassone told Radio Deejay. "Then you will discover in due time who will be the player we will focus on."
Torres joined Chelsea from Liverpool in 2011 for £50m.