It is less than two years since Neymar left Barca for the French capital in a shock world-record £199m move.
The report claims that Neymar had an agreement with Paris Saint-Germain President Nasser Al-Khelaifi, wherein he is allowed to leave the club at the end of the season for €220 million (£193 million).
According to the Spanish Newspaper, Neymar is said to have grown exhausted with life in Paris and wants to move back to Barcelona and be reunited with Lionel Messi.
Neymar who left Barcelona in a weird fashion is still dear to the hearts of many Barcelona faithful especially his former playing mate, making him fancy a return to the Catalans.
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"No one on the current Barca board has talked about a return for Neymar, so it's really a hypothetical question as it's not being looked at".
Another source told ESPN FC it would be hard for Neymar to go back to Barca given the manner in which he left the club previous year.
"It's speculation, we're not in the market at the moment or looking short term, but anything can happen in football". "We were all on tour talking with him and his father, and they were not transparent".
Neymar has remained a regular visitor at Barcelona's training ground, though, since moving to PSG, where he won the domestic treble last season.