Goalkeeper Thibaut Courtois officially signed a six-year deal with Real Madrid on Thursday, ending his seven-year spell at Chelsea.

The Belgium number one, 26, completed his move to the Spanish capital hours after Chelsea confirmed Real midfielder Mateo Kovacic had joined on loan.

Real posted a clip of Courtois signing his contract alongside club president Florentino Perez.

"Today I am realising a dream," said Courtois.

Real have not revealed how much they have paid for Courtois, who had a year remaining on his contract, but reports suggest the deal is worth up to £35m.

Chelsea have signed Athletic Bilbao keeper Kepa Arrizabalaga for £71m as a replacement.

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"This is the best club in the world," added Courtois, who signed for Chelsea in June 2011 from Genk. The Belgian was immediately sent on loan to Atletico Madrid, where he played until 2014 before returning as the Blues' number one.

On Monday Courtois was absent from Chelsea's Cobham training ground, where he was due to take part following his involvement at the World Cup.

Courtois was voted best goalkeeper at the tournament in Russia, where Belgium beat England in a third-place play-off.

"Chelsea will always have a special place in my heart," he said in a Facebook message posted on Wednesday. "I want to thank the fans for their great support.

"I hope you understand that being close to my kids was considerable in my decision."