The 27-year-old has scored 51 times in 58 appearances for Paris Saint-Germain since joining the French giants from Barcelona in the summer of 2017.
The Br azil international has continually been linked with a return to Spain, though, with Madrid said to be long-term admirers of the left-sided attacker.
According to AS, Los Blancos president Florentino Perez 'would love' to sign Neymar ahead of the 2019-2020 campaign, but the European champions 'do not want a war with PSG'.
As a result, the report claims that Madrid want Neymar to force a move away from Les Parisiens.
The South American scored 105 goals in 186 games for Barca before completing a switch to the French capital.
Zinedine Zidane's side are expected to spend heavily this summer, with Chelsea's Eden Hazard amongst those said to be heading for the Bernabeu.