The Red Devils are said to have serious interest in the 18-year-old centre half.
Anselmino has impressed hugely at Boca in recent years, with Ole now linking him to the Old Trafford club.
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While he is one for the future, United may feel they can turn him into a top Premier League player.
Given he has a release clause of around 18.5 million, he is very much affordable for the English giants.
United will be operating on a budget this summer due to the Premier League's PSR rules.