AS says Varane, who is attracted by the project pitched by United to his minders, has now settled on a contract with the Premier League giants, with just bonuses needing to be settled.
United are also in contact with Real Madrid about a fee and aim to do business for less than £45m.
Real Madrid chiefs are resigned to selling Varane this summer after he rejected efforts to open new contract talks.
The defender's current deal will expire next summer.
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