The Manchester City striker previously played for Atletico Madrid, but could jump at the chance to join a big club like Real.
According to the Daily Star, Real Madrid are considering bidding as much as €50 million for the player.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.