Antonio Conte is set to take over as Chelsea manager following Italy's participation in France.
And he's desperate to keep Hazard despite his poor season last year.
Real Madrid and Paris Saint-Germain have also shown an interest in the 25-year-old.
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Eden Hazard could move to Manchester United this summer, according to the bookies
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Hazard joined Chelsea in 2012 from Lille for £32m.
He was inspired during their title win in 2015, picking up the Premier League Player of the Season award and the FWA gong.
He's been named Chelsea's player of the year twice but struggled last season with an injury and a crisis of confidence.