The French radio station also claim that a move to the Santiago Bernabeu for Belgian international Eden Hazard is also in an advanced stage.
According to French radio network RMC Sport, Real Madrid are close to signing players with Belgian internationals goalkeeper Courtois and Eden Hazard poised for a move to the Santiago Bernabeu.
The deal to secure the Belgian keeper is imminent with a fee of 35 million euro reportedly having been agreed in a deal which would see Courtois stay at the Bernabeu through to 2022.
Hazard is also set for a departure from Stamford Bridge with the claim that he has given a verbal approval to a move to the Real Madrid directors with still much to negotiate before the player makes the ,move from London to the Spanish capital.
Both players are currently in Spain on holiday with Hazard on the Costa del Sol whilst Courtios is spending time in the Canary Islands. The former Atleti stopper has stated on a number of occasions his desire to return to Madrid and spend more time with his two children who live in the capital with their mother.