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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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.