Maignan, 30, was subject to significant interest from Chelsea in the summer transfer window but ultimately remained in Italy.
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The France international is yet to put pen to paper on a new deal, however, with his current contract set to expire at the end of the season.
Speaking to DAZN after their 2-2 Serie A draw with Sassuolo, Tare provided a brief update, saying: "I’ve never heard €8m net request as salary from Mike.
“He’s a leader, a top guy, he’s happy at AC Milan and we’d be happy to keep him. We are in active talks."