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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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.