The Belgium captain was one of the players of the World Cup and it has only added to his value.
The 27-year-old has been touted to join one of the two top La Liga teams this summer, with Real and Barcelona both interested.
But Los Blancos are the favorites to land the former Lille forward, who have been courting him for a number of years.
And with the departure of Cristiano Ronaldo, it has only accelerated matters.
The European champions are looking for someone to fill the void he left behind, with a number of candidates eyed including Kylian Mbappe, Neymar, and Harry Kane.
But with those three out of reach, they have turned their attention to Hazard.
However, the Blues are no easy club to buy from and have resisted the urge to sell him so far.
In fact, according to Diario Gol, they have made some outlandish proposals of themselves.
As well as a lump sum, the west London outfit have asked for either Isco or Marco Asensio in return.
Hazard himself has hinted at a potential Stamford Bridge exit this summer.
“Certainly after this World Cup.
“I can decide if I want to stay or go, but Chelsea will make the final decision – if they want to let me go. You know my preferred destination.”
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