The Sun says the Spanish giants have made Hazard their No1 transfer target and are ready to splash £100m to get their man who will have just one year left on his current deal this summer.
It comes as Hazard has admitted he has “made a decision” on his future with growing fears at Chelsea that their No10 wants to leave this summer.
Hazard, in an interview with RMC for a documentary to be aired on Wednesday, said: “I know what I am going to do. I have made a decision.”
He has already admitted in the past it would be a “dream” to play for Real Madrid and the Spanish giants want him to spearhead a rebuilding programme at the Bernabeu.