The Daily Star says United have been busy putting together a package to lure him away from the Bernabeu.
They will lodge a £38m bid that club chiefs think will be enough for Real to agree a sale.
Di Maria will then be offered a £150,000-a-week package to sign on at Old Trafford.
Mega-bucks Paris St-Germain are also keen but Di Maria has snubbed their interest.
United can help fund the deals with the £750m they will pocket from adidas.
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