It was reported on Madrid radio that Courtois, on-loan with Atletico Madrid, had committed to joining Real when he comes off contract in 2016.
"It is totally false. I have not said anything like that to (Atletico GM) Miguel Angel Gil (Marin) because it is not true. I have no agreement with any club.
"Everyone knows that I have a contract with Chelsea and I am happy at Atletico."
Atletico chief Gil Marin is continuing talks with Chelsea about signing permanently Courtois in the summer.
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