The issue, however, for Chelsea would be that they will have to spend whatever they get from the Courtois deal and a little extra as well to land the shot-stopper they need.
In the past, Courtois has spoken of his desire to move back to Spanish capital, where he enjoyed four seasons between the sticks for Atletico Madrid, on-loan from the Blues.
The French midfielder struggled for the Blues last season following his big-money move from Monaco.
It sounds like only one of them might be moving, though.
Real Madrid have struck an agreement for Chelsea goalkeeper Thibaut Courtois. It wasn't almost good enough for Conte to keep his post in West London, who had his fair share of disagreements with players including Willian, who is rumored to be moving to Barcelona this summer.
Hazard opened the door for speculation on his future to swing wide open after the World Cup too when he said that "it might be time to discover something different". I can decide if I want to stay or go, but Chelsea will make the final decision - if they want to let me go.
Courtois has just a year left on his current deal and is prepared to run down his contract at Stamford Bridge, with Sky in Italy reporting in May negotiations over an extension had broken down. But I feel happy at Chelsea, it's not that I necessarily want to leave.
In 2014, it became clear that the end was near for him as a Chelsea player.
CSKA Moscow's Russian Federation midfielder Aleksandr Golovin continues to be linked with a move to Chelsea.