The Spaniard enjoyed a fine first season in England with Jose Mourinho’s side, scoring 21 goals in 33 appearances in all competitions, 20 of which came in the Premier League.
However, a persistent muscle injury saw him struggle in the second half of the campaign and more recently Spanish newspaper Marca were claiming that he is keen on a return to Spain, with the 26-year-old struggling to adjust to the climate, language and food in England.
And now comes a report suggesting that he has been offered to the Spanish giants, although Chelsea are understandably reluctant to sell.
“They [his representatives] offered Diego Costa to Real Madrid,” said Francois Gallardo.
“He is a top player and perhaps one of the three best players in the world in his position. An offer arrived on Tuesday and the club like it. But there is a problem with his current club. Although Real Madrid accepts the offer, the coach [Mourinho] and club [club] will put many obstacles in the way.”
It is unlikely that the Blues would be willing to allow their star forward to leave the club after just one year, especially after his impressive performances last season.
Add in the fact that relations between Mourinho and Real are likely to be strained following his spell at the Bernabeu, and that makes a deal all the more unlikely. At this moment in time, the Blues certainly hold all of the cards, and if the Brazil-born Spain international were to leave, it would certainly be for a big price.