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Hazard, who is currently nursing a muscle injury, has made 13 appearances and scored three times across all competitions for Los Blancos.
According to Defensa Central, Chelsea have been 'drawn in' by the idea of landing the Belgium international for half of the £88m transfer fee Madrid paid.
Belgium's national team doctor, Kristof Sas, has claimed that Hazard's injuries are "chronic" and the Madrid winger is in a "vicious circle."
The 45-year-old Belgian told Flemish newspaper Het Nieuwsblad: "We are awaiting the details and knowing more, but it is clear that it is worrisome.
"The injuries at this stage of the season are not worrisome for the Euro, it is even a rest period. But with Eden it is different.
"It's another relapse, a chronic situation that always goes wrong in the end. First the ankle, then the muscle injuries. It's all very unpleasant.
"Eden is in a vicious circle and it's not easy to get out of it. It's disturbing what happens with [his] musculature.
"A footballer must be able to kick, turn, jump, all at high speed. And, of course, this is more difficult during rehabilitation. He needs pace and continuity.
"The situation is not dramatic for us yet, but must urgently get out of that dead end."
Hazard, who has been heavily criticised by Spanish media, was also brutally trolled by Burger King after he missed a Madrid training session earlier this week.
Featured Image Credit: PA
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