Hazard's future has been uncertain since the end of the World Cup, where he put in several excellent performances as he captained his side Beligium to a third-place finish.
Real Madrid are under pressure to bring a big-name signing to the club after they sanctioned the €100 million transfer of club legend Cristiano Ronaldo to Juventus, and believe that a move for either Kylian Mbappe or Neymar from PSG is unfeasible.
As a result, 'Los Blancos' are thought to be preparing a £150 million bid to bring the Belgian superstar to the Bernabeu, but the 'Daily Mail' believe that Chelsea are willing to reject a bid at any price.
Even though Hazard has not signed a contract worth £300,000 per week with the London club, they are confident that he will not push through a move to the Spanish capital in the way that the likes of Philippe Couthinho did when moving from Liverpool to Barcelona.
The former Lille winger is currently on holiday after his World Cup exploits, but Chelsea boss Maurizio Sarri fully expects him to return to Chelsea to begin preseason training in the next few weeks and be a part of his plans going in to the new Premier League season.