Mbappe will be a free agent next summer, and Real Madrid has made a bid for him.
On Tuesday, Spanish and French media reported that Real Madrid had launched a €160 million proposal for Paris Saint-Germain forward Kylian Mbappe.
Neither club made an immediate statement.
Real Madrid has made a €160 million bid for Kylian Mbappe.
PSG's position remained unaltered, according to France's L'Equipe, with the Ligue 1 club resolved to hold Mbappe at least until the end of his contract in June next year, even though he may then depart for nothing.
According to Marca in Spain, Real's move is the first step in their pursuit of the 22-year-old French World Cup winner.
Mbappe, who scored 42 goals in all competitions for PSG last season, has apparently expressed his desire to relocate to Spain.
However, Real sources told As.com that the fact that money was not an issue for Qatar-owned, oil-rich PSG was an impediment for Real.
The offer was made on Sunday, according to Sky Sports.
No intention of selling Mbappe.
Any sale of Mbappe would allow PSG to recoup part of the expenditures of Lionel Messi's pay package, which they paid Barcelona earlier this month after signing the Argentinian forward and six-time Ballon d'Or winner.
After losing the league title by one point to Lille and tumbling out of the Champions League semi-finals, PSG finished last season with only one major trophy, the French Cup.
Real, now led by Italian Carlo Ancelotti, finished second in La Liga to city rivals Atletico Madrid the previous season.
Mbappe joined PSG on loan from AS Monaco in 2017 before signing a €180 million permanent contract a year later.