The Brazilian global is also seeking a move before Thursday's deadline and Willian has been constantly linked with Man Utd ever since Mourinho took charge two years ago and it seems a reunion could finally be on the cards.
While Liverpool are being widely praised for getting their transfer business done early, United have been coming under fire from all angles recently as they flounder in the search for new players to close the gap on Man City.
"I found out that Martial was going to Paris when he told me", said Mourinho at the time.
And afterwards Mourinho asked Pogba, Lukaku, Jesse Lingard and Marouane Fellaini - the players still recovering from the World Cup in Russian Federation - to make themselves available at Old Trafford on Friday.More news: Saudi Arabia to freeze new trade with Canada, recalls ambassador
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Only Man United, in Britain, have paid more than £75m for a player, when they signed Paul Pogba from Juventus for £89m.
The Red Devils are still looking to bring in a centre-back to pair up with Eric Bailly for the upcoming season.
A new centre-back appears to be a top priority for the Portuguese, with Harry Maguire, Toby Alderweireld and Yerry Mina heavily linked, while another midfielder is also believed to have been targeted.
Previously, Wayne Rooney had adorned the shirt for 10 years from 2007 to 2017, before switching to Everton. "On Friday we go with the best possible team".
"Of course, he respected Rooney and then Zlatan wanted to have it. It's something fantastic the kid, let's give it to him".