Marca reports that the Spanish giants are keen to re-sign Morata at the end of the season.
Real Madrid agreed a €32million buyback clause in the deal that saw Morata move to Italian giants Juventus in 2014.
Reports claim Real Madrid are ready to exercise the caluse at the end of the season.
Real Madrid could even decide to sell him on in the summer.
Manchester United and Liverpool have both been strongly linked with a move for the Spain forward.