Real Madrid president Florentino Perez and the father of Neymar have reportedly discussed a future move to the Bernabeu.
Last summer, Neymar completed a stunning switch from Barcelona to Paris Saint-Germain for a world-record fee, but there have been suggestions that the forward is unhappy in France.
That has led to speculation over an offer being made by Real and according to Diario Gol, discussions have been held between Neymar's father and Perez.
Real are allegedly prepared to pay as much as €250m (£220.49m) in order to sign the 25-year-old, who has scored 15 goals in 18 appearances since moving to the Parc des Princes.
The report also suggests that there is an understanding that a move may not take place until 2019, despite Neymar being said to be keen to wrap up the transfer in the summer.