The France international has been made available by Chelsea this summer after two difficult years in London.
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L'Équipe says Inter Milan have made a move and held talks with the player's team in recent days to discuss his situation.
The 27-year-old won't be cheap. He has a contract with the Blues until 2029. Two years ago, he moved from RB Leipzig to Stamford Bridge for €60m.
The Blues would now be happy with €35-40m to sell in the coming weeks.