Real Madrid are still intent on signing David de Gea from the Red Devils and talks have taken place.
In discussions between the two clubs, the possibility of swapping Courtois for Spain’s No.1 arose.
The Belgium international has not enjoyed his first season at the Bernabeu.
And Zinedine Zidane’s return as manager amid Real’s turbulent campaign has coincided with Courtois losing his place as first-choice keeper to Keylor Navas.
However, the 26-year-old signed from Chelsea last summer for £35m is not keen on a swift return to the Premier League at OId Trafford, The Sun claim.
Ex-Atletico Madrid Courtois was running down his contract at Stamford Bridge in a bid to secure a dream transfer to Real and return to Spain’s capital, and he is not ready to give up yet with his family also there.
If it is not possible for Courtois to stay, his preferred destination would apparently be PSG.
The shock proposals between United and Real over their star goalkeepers come as:
“Real have subsequently asked United about De Gea and put Courtois on the table”
Real are attempting to take advantage of ongoing negotiations in Manchester over De Gea’s contract.
The 28-year-old is only tied down until June 2020, meaning United need to sort out his future by the summer or face the prospect of losing him for free.
No agreement has yet been reached over a wage hike for De Gea, who is represented by Jorge Mendes.
Real have subsequently asked United about De Gea and put Courtois on the table as part of a switch, The Sun add.
The Spaniards have signalled their intention for the 2019/20 season, with their current keeper far from settled.
While Courtois wants to stay and prove his worth to Real, he is said to feel badly treated by fans who have been critical.
The former Premier League ace was slammed for his performance in Real’s humiliating 4-1 defeat at home to Ajax which saw them dumped out of the Champions League prior to Zidane’s return.
Courtois was told by his new manager, though, that his absence from the weekend 2-0 win at home to Real Betis does not mean he has lost his place as No.1 long term to Navas.