The Paris Saint-Germain star only left Barcelona for the Ligue 1 giants last summer but a return to Spain has already been talked up.
Real Madrid president Florentino Perez is desperate to land another marquee signing and he sees Neymar as his next Galactico.
The Brazilian is said to be open to a move to Los Blancos as he looks to finally land the Ballon d’Or that Cristiano Ronaldo and Lionel Messi have dominated over the last decade.
Neymar remains close friends with former team-mate Messi and Spanish publication Don Balon claim the pair have held talks about Real’s proposal.
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The 25-year-old has told Messi Real are willing to make him the best paid player in world football and that he would consider a move to the Bernabeu, despite playing for rivals Barca.
News of Neymar’s revelations has not gone down well with Messi but the Argentine knows he cannot intervene with his pal’s decision.
Messi is reluctant for Neymar to join Madrid as he knows Zinedine Zidane’s side would be getting a world class player that could stop Barca winning more silverware.
Elsewhere, Spanish newspaper Marca claim Madrid will not go behind the backs of PSG to secure Neymar’s signature, and won’t pursue a move without the prior knowledge of the Parisian club.
Any move now or at the end of the season is unlikely, but they could break the bank next year to seal Neymar’s transfer.
Neymar, who is under contract with PSG until 2022, has netted 11 goals and provided nine assists in 14 league appearances this term.
PSG currently sit nine points clear of champions Monaco at the top of Ligue 1.