The 24-year-old Argentine forward only moved to the Bernabeu in 2010, but after finding himself embroiled in a salary dispute, could soon be sold by the Spanish giants.
Di Maria has scored 15 goals in over 70 appearances for Madrid, and has been central to the side's success this season, helping them to a ten-point advantage over rivals Barcelona at the top of La Liga.
Blues boss Andre Villas-Boas has been credited with an interest in bringing the South American to Stamford Bridge, as he prepares for life after Florent Malouda and Salomon Kalou - two players expected to leave west London at the end of the season.
Jose Mourinho is determined to keep Di Maria in Madrid, but club directors have made clear if any club is willing to meet the player's £22million valuation, then they will be given the green light to begin negotiations with Di Maria and his representatives.
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