The Spain international has been strongly linked with a move away from Stamford Bridge this summer despite having two years left on his contract with the London club
Inter are looking to strengthen their attacking line this summer and the 30-year-old is among the players the Nerazzurri are considering.
"Will we sign Torres?" Fassone said on www.inter.it.
"You all know that some names have circulated (in the media) and even (club) president (Erick) Thohir has not made a mystery of the fact that they interest us
"Who will be the right candidate in the end has yet to be defined."
Inter's transfer market this summer will depend on whether the club qualify for Europe next season.
The Nerazzurri, who missed out on Europe this term, are fifth in the standings and currently hold the last Europa League qualifying spot with five games to go in Serie A
"It's obvious that in the last few months, our club president has requested as an aim to return to Europe," Fassone said.
"It would be problematic not to qualify for continental competition for a second straight year, not just for the work we are doing but also from a financial standpoint."
Source : PA
Source: PA