The Blues forward has been in scintillating form this season at Stamford Bridge, with the Premier League title in touching distance.
However, the Belgium international's future in west London is continually under speculation.
Antonio Conte does not wish to lose the Chelsea superstar, but it is said Hazard is pushing for a switch to Madrid.
According to Spanish outlet Don Balon, the 26-year-old wants to go and play at the Bernabeu and swap London for Spain's capital.
Chelsea star Eden Hazard is looking for a new house in Madrid
Hazard has already begun searching for a home in La Finca – a luxurious residential area
It is claimed Eden Hazard has already begun searching for a home in La Finca – a luxurious residential area where a vast majority of Madrid players live.
The complex of stunning houses are home to the likes of Gareth Bale, Karim Benzema, James Rodriguez, Sergio Ramos and Toni Kroos.
Meanwhile, Cristiano Ronaldo is in the highest standing of the area known as the Lagos I.
Hazard is apparently preparing to disembark and set up in the same location.
Eden Hazard has been in top form for Chelsea this season and scored at West Ham on Monday
Diego Costa traps Eden Hazard in a box at Chelsea training
Thu, February 23, 2017
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Zinedine Zidane is intent on signing Eden Hazard from Chelsea this summer
Madrid boss Zidane wanted the sign him last summer but Florentino Perez could not meet his request, however, they will not fail this time around, Don Balon claim.
There has been constant contact between parties over a move, with Zidane intent on landing Hazard and no other player in his position.
Either Isco, Rodriguez or Alvaro Morata could make way to see Hazard brought in.
Madrid see the Chelsea star wearing their colours next season, and are even willing to pay a huge outright figure.