After a shaky start to his career at Manchester United, De Gea has developed into one of the best goalkeepers in world football.
United have seen off considerable interest in De Gea from Real Madrid in the past and are now hoping to extended his contract.
But PSG made a huge statement to world football when they signed Neymar and Kylian Mbappe during the summer and, with the backing of Qatari ownership, they are likely to make more big deals in the coming windows.
And according to French outlet Le10 Sport, PSG are now considering a move for De Gea.
Current goalkeepers Kevin Trapp and Alphonse Areola have failed to convince at the Parc de Frances.
Atletico Madrid’s Jan Oblak is mentioned as a transfer target but De Gea is viewed as a possibility at the end of the season.
PSG’s director of football Antero Henrique is said to have already talked to De Gea’s agent Jorge Mendes about the goalkeeper.
Last week, Matteo Darmian declared De Gea as world’s best goalkeeper.
“I know David very well and I think, at this moment, he is the best goalkeeper in the world,” the defender told ManUtd.com.