However, there is a catch in the deal. Perez apparently wants to wait until the end of the season rather than try to tempt him away from Man Utd now.
Real Madrid have not been assured between the sticks ever since Iker Casillas left the club in 2015.
Zinedine Zidane had been chasing Athletic Bilbao goalkeeper Kepa Arrizabalaga until he ruled himself out of the running yesterday.
De Gea’s intention to play at the Bernabeu is clear as the Spaniard has always expressed his desire to return to his homeland.
And according to Spanish outlet Don Balon, the shot stopper will get the chance at the end of the current season.

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De Gea came close to joining Real two-and-a-half years ago but a faulty fax machine made the deal fall through at the final hour.
Don Balon adds that Perez also wants to add attacking reinforcements to the squad.
Barcelona yesterday completed the £142million signing of Liverpool’s Philippe Coutinho.
And Real are keen not to be left behind.
Ronaldo has links with the Man Utd hierarchy after spending six years at Old Trafford between 2003 and 2009.
And Real are hoping his contacts will help make the deal go through smoothly, despite United wanting to keep their number one.