Torres decided to leave Liverpool after three-and-a-half-years at Anfield but has struggled to recreate the superb form that saw him score 81 goals in just 142 appearances.
The 27-year-old has scored just three league goals for Chelsea and has struggled to force his way into the first team this season with the likes of Daniel Sturridge, Nicolas Anelka, Romelu Lukaku and Didier Drogba all pushing for a starting berth.
According to the Daily Mail, Chelsea were originally prepared to let the striker leave on a loan deal to rebuild his confidence but now the club are prepared to sell for as little as £20million.
Chelsea boss Andre Villas-Boas had hoped that fellow Spaniard Juan Mata would bring the best out of Torres, but so far the former Atletico Madrid striker has showed no signs of rediscovering his best form.
The Portuguese manager wants to rebuild the Chelsea squad and is keen to make a number of transfers in the January window, with Anelka already agreeing to leave in the New Year.
Brazilian defender Alex is almost certain to follow Anelka out of the door at Stamford Bridge and Torres could also be another name that ends up being sold.
There is certain to be plenty of interest in the Spain international despite his lack of for, with the likes of Paris Saint-Germain and Malaga already declaring their interest.