In return, Julen Lopetegui's side has sanctioned a one-season loan spell at Chelsea for midfielder Kovacic, who is yet to fully settle at the Santiago Bernabeu.
As soon as Kepa Arrizabalaga completed his medical, things went much more smoothly and Madrid will be glad they have signed Courtois at last.
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The Anfield friendly saw goals from Roberto Firmino, Georginio Wijnaldum and Daniel Sturridge, but new signing Fabinho missed a penalty.
Chelsea will now reportedly receive a cash fee and midfielder Mateo Kovacic on loan as part of a deal to send Courtois to Real.
Modric - victor of the Golden Ball as he helped his national side to the World Cup final earlier this summer - had hoped to meet Real president Florentino President on Wednesday to make his intentions clear.
"For me, Courtois is one of the best", he said on Sky Sports' Premier League launch show.
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Disney looks to be sticking with its decision to remove Gunn as his offensive tweets do not fit with the studio's image. Bautista added: "Nobody's defending his tweets, but this was a smear campaign on a good man.
Luka Modric returned to training at Real Madrid on Wednesday along with five other World Cup players, against a background of contradictory rumours about his future.
When asked about playing under new Chelsea boss Maurizio Sarri, Kepa added: "I find his style and ideas very attractive".
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Kepa, who came close to joining Real Madrid in January, becomes the world's most expensive goalkeeper, his fee surpassing the 67 million euros Liverpool splashed out for Roma's Alisson last month.