The Brazilian has long been linked with a move to European champions Chelsea.
Inter coach Andrea Stramaccioni told Sky Sports Italia: “Maicon is the strongest right-back in the world. We all are fond of him, all at Inter love him.
“However, for some evaluations, affection does not count so much. Let’s see what happens in the coming days.”
Maicon’s current contract with Inter Milan is set to expire next summer.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.