The paper claims that the French champions will pay United £40m for the unsettled England striker, with Rooney then to get £15m-a-year after tax for the course of a four-year contract.
PSG are apparently desperate to bring in a big striker as rumours escalate that Zlatan Ibrahimovic will return to Italy this summer after spending just a year in the French capital.
Rooney is yet to decide whether or not he actually wants to go, however: " He is certain to want to see where he stands with incoming manager David Moyes, who officially succeeds the retiring Alex Ferguson on July 1, before he makes any decision on his future," the paper reports.
"While United have told the media that the player had asked to move on, Rooney is adamant he did not make a FORMAL transfer request and had actually been hoping to negotiate a new contract."
Will he or won't he? There's always one potential move which creaks on endlessly through each summer, and it looks like Rooney could be at the middle of it this time.
The Daily Star reports on two big moves in the summer manager's market, with Manchester City closing in on Manuel Pellegrini and Chelsea about to wrap up a bumper new deal for Jose Mourinho.
The Telegraph and Mail also report that Pellegrini us about to sign on the dotted line having now quit Malaga, adding that he will report for work on Monday 3rd June - and that his first order of business will be to sit down for talks with Carlos Tevez and Gareth Barry.
Pellegrini's 24-month deal is worth £3.4 million a year - a paltry sum compared to Mourinho's reported new salary.
The Star claims that the Portuguese boss will receive over £1 million a month from Roman Abramovich to take the reins once more at Stamford Bridge - and given that he's on a four-year contract, that translates to a stunning £50m.
And that could just be the start for Chelsea's summer spending: the Mirror and the Mail both claim that the Blues are in pole position to land Cristiano Ronaldo this summer. That would be some coup if Chelsea can pull it off, though Ronaldo's lukewarm comments about Mourinho this season do make us wonder if the two would really want to link up again.
As for the men who will (or might) make way for Mourinho and Ronaldo? Rafa Benitez is looking increasingly likely to get the Napoli job, the Mirror reports - and it seems he might take Fernando Torres with him. Now that Torres is good again - thanks in large part to Benitez, it must be said - he is a man in demand, and Napoli are apparently keen to spend some of their Edinson Cavani money on the Spanish star.
David Moyes's big summer signing at Manchester United could be Thiago Alcantara, the Sun reports, with the 22-year-old Spanish star keen to leave Barcelona in order to get first team football elsewhere.
The Mail claims that Andy Carroll's prospective £15m permanent switch to West Ham is set to go ahead despite the striker's nasty injury.
The same paper reports that Darren Bent will be allowed to leave Aston Villa as part of a clear-out this summer for less than half the £24m he cost the Midlands club.
A report in The Times, however, suggests that Villa may need to hang on to Bent: Christian Benteke is apparently playing hardball over a new deal following his breakout season. He'll either engineer a colossal pay rise, or a move elsewhere.
Arsenal are ready to listen to offers for club captain Thomas Vermaelen, with the Belgian defender to be allowed to leave for around £5 million after falling down the pecking order behind Per Mertesacker and Laurent Koscielny.
And finally, The Sun talks up Gareth Bale's potential move to Real Madrid off the back of some comments by Sergio Ramos. Apparently, he is all for it. So now you know.