Villa are aiming to strike terms over a loan-to-buy arrangement for the England international.
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BBC Sport says Villa are also speaking with Sancho's camp about personal terms.
Sancho has resisted a move to Roma over the past week, though is understood to be open to a switch to Villa Park.
United would prefer a straight sale, but will accept a loan deal with management desperate to clear Sancho off the books before tonight's transfer deadline.