A Bola reports that Chelsea boss Jose Mourinho is keen to bring the stirker to Stamford Bridge.
Mourinho and Benzema worked together at Real Madrid, before the Portuguese manager returned to Chelsea.
Benzema has failed to score in his last five La Liga fixtures for Real Madrid.
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Being an amiable guy is good for you and Jurgen Klopp is living proof.
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.