The Costa Rica international has been told by coach Zinedine Zidane he needs to move on this summer. It's suggested Zidane has told Keylor the board are demanding Thibaut Courtois be his No1 next season.
La Nacion says Keylor has now accepted the situation and is listening to offers - with a preference for PSG.
The Parisians are keen as they consider releasing Gigi Buffon from his contract. And Keylor would welcome talks about a move to France in the coming weeks.