Modric said: "I have no doubt (I will stay). I want to remain at the best club in the world.
"It is a privilege to be here. I want to show more in the future and I am not thinking about anything other than continuing here next season.
"I think Real have only seen a little bit of my game. I can perform better and offer more. In the future I hope to do that and prove to the club and the fans that they were right to bring me here.
"I want to make sure that I have a good pre-season and prepare well for next season. That is important to me."