The 22-year-old has been a key part for Zinedine Zidane’s side this season, making 52 appearances so far with 11 goals in all competitions.
The Spaniard’s form has caught the eye of some of Europe’s leading clubs but the player’s agent Horacio Gaggioli, said the offers were turned down.
“Real Madrid have received two offers for Marco Asensio, of up to 150 million euros,” he told Cadena SER.
“But the club turned them down.
“He has an extraordinary future ahead of him.”