According to Calciomercato, the Spanish giants supervise the contracting situation of the 27-year-old at AC Milan as there is doubts about a new deal.
The current deal of Hernandez will end at the end of next season and Real Madrid believes that an offer of € 20 million could be sufficient to seduce Milan to sell.
It is understood that the Serie A-side will sell the left side this summer if they are unable to agree to a new contract soon, and prefer to get compensation instead of having him leave for free.
Bayern Munich and Man United would also be interested in Hernandez, who will undoubtedly have many options if he decides to leave.