The Spanish striker has endured a torrid time at Stamford Bridge scoring only one goal in 22 games since his move from Liverpool in January.
He openly criticised his teammates this week, labelling them slow and blaming them for his barren run in front of goal.
AC Milan, Juventus and Inter all hold an interest in the 27-year-old and haven’t been perturbed by his dramatic loss of form in West London.
Milan are thought to be most keen to bring Torres to Italy – despite the forward being dropped to the bench for Saturday’s win against Sunderland and failing to find the net this season.
Their Serie A rivals are also keeping tabs on the Spaniard, who’s CV boasts European Championship and World Cup titles.
Blues boss Andre Villas-Boas has already bought young Belgian Romelu Lukaku this summer, whilst Daniel Sturridge scored the winner at the Stadium of Light after being given his first start of the season.
With added competition from Didier Drogba, Nicolas Anelka and Salomon Kalou any offer near the £50 million paid in January may tempt Chelsea to sell Torres.