The Spanish frontman - who joined the Blues from Liverpool in a British record deal in 2011 - has been largely disappointing at Stamford Bridge and it appears that he is attracting admiring glances from the continent in the lead-up to the summer transfer window.
"He is one of the names that interest us, as admitted by our president Erick Thohir in recent days," quotes from Marco Fassone were cited by Sky Sports.
As well as admitting an interest in Torres, Fassone was also clear in Inter's ambitions for the remainder of the 2013/14 campaign.
"Now our goal is to get a place in the Europa League. It would be a problem not to play in Europe for two consecutive seasons."
While Torres' exit from Chelsea is far from guaranteed, Jose Mourinho is expected to be in the market for at least one new striker this summer - a factor that could hasten the World Cup winner's departure.
And given that he hasn't exactly set the world alight since making the switch from Anfield, a fresh start in new surroundings could be exactly what Torres requires in order for him to get his previously stellar career back on track.
It has been speculated that Chelsea would demand around £20 million to part with the player, an offer that you would imagine an increasingly ambitious Inter would be well capable of matching now that Indonesian businessman Thohir is the club's majority shareholder.
However, with Torres' former club - Atletico Madrid - also mentioned in relation to a possible return for the player, it looks like they could face significant competition for his signature.