Jose Mourinho wants to try and lure the youngster, who enjoyed a superb season with AC Milan last year, to Stamford Bridge, according to the Daily Mirror.
A number of clubs have registered an interest in the player, including Manchester City, Real Madrid, Arsenal, Paris St Germain and Monaco.
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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.