Neymar made a world-record £200million switch to PSG last summer but there are still question marks over whether his future lies in France.
Marca say Real Madrid are determined to lure him to the Bernabeu and that they are ready to make a move - despite the difficulties in getting it done.
It's claimed Neymar was met with smiles and embraces on Tuesday night as they try to start a charm offensive to make him feel at home.
Cristiano Ronaldo and Neymar reportedly see it as possible they both play for Real Madrid at the same time with the pair embracing after the Champions League clash.
On the pitch, Cristiano Ronaldo made history this week - and showed Neymar he still has a way to go if he is to dethrone him as the world's best player.
The five-time Ballon d'Or winner became the first man to score 100 Champions League goals for the same club when he fired in Real Madrid's equaliser from the penalty spot before adding his 101st late on as the defending champions came from behind to take control of this tie.
The penalty itself was far from routine, as replays showed the ball jumped off the spot when Ronaldo placed his standing foot, allowing him to almost volley it home.
Ronaldo's magic touch cancelled out Adrien Rabiot's 33rd-minute opener, which PSG's £199 million summer buy Neymar - who has already been linked with a move to Madrid as a replacement for Ronaldo in 2019 - set up with a backheel.
But the Portuguese had the decisive say in the second half when he turned in Marco Asensio's parried cross with his knee with seven minutes to go before Marcelo completed the comeback with a volley.
Real boss Zinedine Zidane, who has been under fire after poor domestic results, said: "We continued to play our game even when they went ahead.
"It's difficult to say the same thing about Ronaldo every day. He keeps doing amazing things."
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