Reports from Spain claimed on Wednesday that the La Liga giants are ready to make a move for Hazard whose contract at Stamford Bridge expires at the end of next season.
Real, on the other hand, could offer midfielder Mateo Kovacic, who is now on loan at the London club, in a player-plus-cash deal.
This puts Chelsea under pressure to sell as it seems Hazard is not set to sign a new deal, with AS stating he has personally agreed on a move to the Bernabeu for summer 2019. Former Arsenal defender told Metro: "When Eden Hazard is on it, I do not believe there is a defender in world football who could live with him".
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"But I want him here if he wants to stay here".
Hazard, 27, is entering the final 18-months of his deal at Stamford Bridge but is yet to sign an extension despite the club prepared to break their wage record to keep him.
"I think he was due an offensive manager", Kompany said. But having stalled contract extensions in the past, Chelsea manager has stated that if Hazard wants to pen a new deal, the contract which is on standby will be done immediately.
6 people dead, dozens hurt in nightclub stampede in Italy
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USA trade deficit with China expands
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Arsenal warn star players over use of 'laughing gas'
Nitrous oxide is not illegal in Britain but experts say recreational use can be unsafe , especially if combined with alcohol. The North London club sit in fifth in the Premier League table, only behind fourth-placed Chelsea on goal difference.
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The 69-year-old Seattle woman stumped doctors earlier this year, when she was admitted to hospital after suffering a seizure . An amoeba is a single-cell organism that can cause fatal disease in humans, and they live in warm soil and water.