Neymar has, though, claimed he will stay at PSG, saying: "I'm staying. I'm staying in Paris.
"I have a contract. Most of the speculation is made by the media.
"Everyone knows my objective, why I went to Paris. I want to have success with that club and I hope next season could be wonderful."
Mundo Deportivo say Chelsea can keep Hazard by demanding a big amount of money, with £180million previously being quoted.
However, with the player’s contract expiring in 2020, that would run the risk of them having to sell him on the cheap in 12 months time.
Chelsea transfer news: Roman Abramovich is key to Eden Hazard joining Real Madrid (Image: GETTY)
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Eden Hazard will leave Chelsea for Madrid predicts Gus Poyet
Hazard has never hid his admiration for Real.
Speaking recently, before the World Cup, he said: "Does Real make me dream less without Zidane?
"Zidane is someone special, it's true, but I think Real is everyone's dream.
"Zidane or no Zidane, the white jersey [of Madrid] is special but the blue jersey [of Chelsea] suits me well so it does not bother me if I stay.
"For now, it's the World Cup. As I have said at least 100 times, I am at Chelsea and for the moment nobody has made me an offer."