The Scot is expected to delve into the transfer market in the coming weeks to right the wrongs of a woeful start to the season, with midfield reinforcements a priority.
Vidal and Pogba are his top targets, with the pair having formed an excellent partnership in Serie A.
Moyes is understood to have met with Juve’s chief negotiator Beppe Marotta over the weekend to thrash out a possible deal for either, or both, of the players.
A double raid looks extremely unlikely, with Pogba in particular thought to be against the move.
The Frenchman left United 18 months ago after growing frustrated at a lack of game time, and is believed to see the bridges between himself at the club as burned.
Vidal is a slightly more realistic target, but the Chilean is expected to remain a Juve player until at least the summer, despite the Old Lady’s elimination from the Champions League.
Pogba is valued at around £40m, while Vidal’s price tag is not far behind that.