Real Madrid are also interested in the 27-year-old, but it's understood his preference is to rejoin Barca.
Several bids have been tabled by Barcelona including €100m plus two players, with Philippe Coutinho likely to be one of them.
One thing that's certain is Neymar wants to leave PSG and it seems the feeling is mutual after all trace of the Brazilian was removed the club's store recently.
PSG fans also want him gone as they chanted "Neymar, son of a b****" during their opening Ligue 1 game against Nimes on Sunday.
But the question now is, do Barcelona fans want him back?
Neymar may be one of the best players in the world, but his return would be hugely expensive and he's had some issues with Barcelona since leaving.
There's also the issue of whether they even need him after signing Antoine Griezmann from Atletico Madrid.
Barcelona fan @dearatorres has published a detailed Twitter thread on why they SHOULDN'T re-sign Neymar and it may change some opinions. Check it out below.
Neymar's attempt to sue Barcelona over a €26m loyalty bonus and get them banned from the Champions League is one of the biggest issues and clearly some fans haven't forgotten.
But the fact remains that he's one of the best players in the world and could propel Barcelona back to the peak of European football.
Decisions, decisions.News Now - Sport News