United have failed with two offers for Neves since the end of last season, with Benfica insisting the youngster won't leave for less than his €120m buyout clause.
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PSG are also keen, with transfer expert Ben Jacobs reporting: "PSG are serious about João Neves but have no plans to trigger his €120m release clause. They are prepared to pay Benfica around €75m.
Neves is a priority target, and one reason why Manuel Ugarte could leave for the right price. PSG have had approaches from Manchester United and Bayern but no one close yet to their €60m asking price.
"PSG also one to watch for Joshua Kimmich. High on their list of targets."