Chelsea want £130m for Eden Hazard, Sky Sports News understands.
Real Madrid value the Belgium international at no more than €100m (£88m) due to the fact that he is entering the final 12 months of his contract at Stamford Bridge.
Sky Sports News understand Chelsea are under no pressure to sell and negotiations over a proposed deal are being handled by Blues director Marina Granovskaia.
Hazard revealed earlier this month that he had made a decision on his future and expected it to be resolved following the Europa League final against Arsenal on Wednesday.
Chelsea boss Maurizio Sarri, who will also have talks over his future following the game in Baku, insisted the club needed to “respect” the decision Hazard has made about his future.
Hazard, who turned 28 in January, signed for Chelsea from French side Lille in 2012 for £32m and has since scored 108 goals in 351 appearances.