According to Spanish newspaper El Confidencial (h/t The Independent's Tom Sheen) Real are likely to move for the Belgian international at some point in the future, despite just signing Costa Rica's Keylor Navas.
Navas had a phenomenal 2013-14 La Liga season and was a revelation during the 2014 World Cup, but Courtois has spent the last three years on loan with city rivals Atletico Madrid and gave Los Blancos plenty of reasons to like his potential during that span.
He's now back with Chelsea, and judging by his comments made to the club's website after his first few days in London, he's looking forward to finally proving his worth for the Blues. As reported by Goal.com's Luke Sheehan, he said:
My new team-mates have been really great; they've welcomed me and you really feel that you are a part of this team.
Obviously it helped me that I knew some of the players before I arrived. When I signed here I had played for just one year in the Belgian league. I wasn't anybody [before that].
In the last three years, I have been able to improve myself a lot and make my name in the football world. Now it is up to me to keep working hard here at Chelsea, keep improving myself and helping the team to achieve the things we all want.
Courtois has had to wait for his chance in the English capital, so his eagerness to show what he can do for the club is understandable. It's unlikely he'll be looking for a transfer anytime soon, and likewise the Blues will be in no hurry to move him.
Stranger things have happened, and in fairness Los Blancos have a tendency to get whoever they want, whenever they want in the transfer market. Top players want to play for Real, and their willingness to pay top dollar for talent works in their favour.
The Belgian youngster might be an exception, however. He did just spend three years minding the net for Atletico, and in that time he did everything he could to proclaim his love for the club.
His goodbye to the fans of the club was more than amiable:
Does his love for Atletico mean he would never consider playing for Real? Of course not. But it will take time for him to move on from his experiences in Madrid, and it would likely take a significant offer to secure his services.
Courtois' desire to play for Real may be at a very low point right now, but more importantly, Los Blancos simply don't have a need for the Belgian. In Navas, they brought in an excellent stopper with La Liga experience and age on his side.
The Costa Rican is 27 years old—if he pans out, he could realistically defend Real's goal for the better part of the next decade.
Iker Casillas and Diego Lopez are about as safe as it gets when it comes to backup options, even if one of them is likely to leave the club.
Fans are buzzing about their newest signing, and as shared by Squawka, they should be:
For top clubs, the stopper position is one you address when you have a need or if a talent comes along that is just too good to pass up. Chelsea saw such a talent in Courtois years ago; he has since developed into one of the world's best.
Real filled their need with Navas, and unless they can spot a sensational talent of their own, there isn't any reason to make further moves at the position. Too much change can damage a goalkeeper's confidence, and starting his biggest challenge yet, Navas needs all the confidence he can find.
At this point, any rumours regarding Courtois would be nothing but distractions. Los Blancos have no need for his services and very little chance of securing his signature. At this moment, staying out of each other's way would be in the best interest of everyone involved.