NPL Sports, 12th January : The Brazilian has been linked with a move to the Bernabeu when he eventually chooses to leave Paris St-Germain.
Neymar left Barcelona in a world-record deal for the French outfit in the summer.
But speculation over the 25-year-old’s future has not gone away with Real keen to lure him away from PSG in the future.
The forward is keen on the move himself but Diario Gol say he will only join if the La Liga champions sell Karim Benzema, Gareth Bale and Cristiano Ronaldo.
Further more, Neymar wants a new goalkeeper at the club and PSG defender Marquinhos accompany him to Real Madrid.
And should his demands not be met, the former Barca man will consider moving to either Manchester United or City in the Premier League.
Neymar has been in stunning form this season, netting 20 times and providing 14 assists in all competitions.
The reports claim Real Madrid president Florentino Perez knows he is now under pressure to sign the striker in 2019.
He will start constructing the team Neymar desires from the summer in preparation for his potential arrival.
Real will see the PSG ace in the Bernabeu before they sign him though as the two teams are set to collide in the last 16 of the Champions League.
The first leg takes place in Spain on February 14. PSG and Neymar return to Ligue 1 action on Sunday when they travel to Nantes.