Journalist Héctor Fernández claims that Bernabeu bosses responded to Mbappe's demands, saying: "Congratulations and good luck in Paris".
Paris Saint-Germain's world record swoop for Neymar does not include the image rights for the Brazilian, according to his lawyers.
Mbappe is expected to be unveiled as early as the weekend.
During the training sessions, Neymar spends more time with his Brazilian colleagues, because he does not know French. That is why the Catalans want to withhold this sum, because Neymar played only one of the five contract years in Barcelona, agreed in October 2016. And based on recent reports, he could stay in the Ligue 1 in the near future.
Gianluigi Buffon blasted PSG's massive valuation, but not everyone was impressed by Neymar's world-record fee.
It also means PSG, owned by Oryx Qatar Sport Investment, will have spent a mind-blowing £362m on two players in the past week to create a new world order in football transfers.
Madrid too have been linked with the 18-year-old, who scored 26 goals for Monaco in his first full senior season, helping the principality club win Ligue 1 and reach the Champions League semi-finals.
It would be hard to see Monaco retaining their Ligue 1 crown due to the players that have left, although, their rivals PSG will be expecting nothing less than becoming domestic champions, along with a successful season in Europe. Italian legend of the player, saying it sounded "fake".
Di Maria already has allies at the Nou Camp in the form of worldwide team-mates Lionel Messi and Javier Mascherano and could be keen on a switch if he loses his place to Neymar with the World Cup coming up next summer.