The Brazilian could be set to complete a world-record move, with several outlets claiming that the Catalan giants are resigned to losing him this summer.
'Sky sports' quote a source who says that it is 90% certain that the 25-year-old will leave the Camp Nou this summer.
The sources claims: "Only a miracle will keep him, he really has made up his mind to leave."
"At the age of 25, he thinks it's his time to win the Ballon d'Or. He believes he can be the best player in the world at another big club."
The former Santos man is allegedly sick of playing second fiddle to Lionel Messi in Catalonia and is keen to move out of the legendary Argentinian's shadow.
Spanish football expert Guillem Balague claims that Barcelona are expecting PSG to pay Neymar's €222m release clause as early as this week.
Spanish Source 'AS' reports that a last-ditch effort from Barca president Josep Bartomeu to convince Neymar to stay has failed, with a meeting between the two lasting just 15 minutes.
Ahead of Barca's game with Juventus, Ernesto Valverde insisted that talk of Neymar's departure was simply rumours, saying: "Neymar is with us and we absolutely want him to stay here, the rest is just rumours,"
"[Neymar and I] have talked but about other stuff, such as tactics and stuff related to that."
"He's a player that we love and we want, not only football-wise but also the things that he brings to the team in the locker room."
Despite this it appears that Neymar will become a PSG player at somepoint in the near future.