Milinkovic-Savic is a Serbia international with 19 caps, and has a release clause worth €21m for foreign clubs, and €19m (£16m/$22m) for clubs in Serie A. Daniel Farke's side are said to have made an enquiry as they attempt to gauge the possibility of a deal, ahead of their return to Premier League football.
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Milinkovic-Savic may have fallen off of the Red Devils' radar somewhat, as they have instead been linked with Botafogo goalkeeper John in recent weeks. That may give Leeds an advantage, but it could be a disappointment to the Serbia star, as he was on the books at Old Trafford as a youngster, although he never played for the first-team.
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Leeds are attempting to strengthen their squad as they prepare for their Premier League comeback. They play Ruben Amorim's United in a pre-season friendly on July 19.