Marco Asensio's agent Horacio Gaggioli has revealed that Real Madrid rejected two offers of up to £132m for the Spanish attacker.
The 22-year-old has been a reliable presence for Los Blancos over the past couple of seasons, racking up 30 starts in La Liga and featuring 19 times in the Champions League.
Asensio is rumoured to be on the radar of a few Premier League clubs, with reports in March suggesting that Chelsea fell short with a £132m bid.
That is the same figure quoted by agent Gaggioli, who believes that an increased offer could still be made.
"Madrid have received two offers for Marco Asensio, up to €150m (£132m), but the club rejected them," he told Cadena SER. "He has an extraordinary future.
"You can imagine that they come from England because they can afford it without any problems. They could even raise it."
Asensio, who has contributed nine goals and seven assists in all competitions this term, is under contract at the Bernabeu until 2023.