The France international, 29, is off contract at Juve this summer.
La Gazzetta dello Sport says United are now in talks with Rabiot about a Bosman move to England.
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Rabiot came close to joining United two years ago amid claims his mother and agent Veronique had upped their demands at the last minute.
The midfielder is now expected to leave Juve - particularly after the sacking of coach Max Allegri yesterday.