Modric was named man of the match and scored in the 2-0 win.
He said: "I'm really happy to win and to claim the first trophy of the season. Being named man of the match is not the most important thing, the most important thing is getting the win and the first trophy of the season. We will celebrate now, but we have to keep going because we've got a long season ahead of us.
"I always strive to do my best and support the team as much as I can. I'm enjoying my football like never before. You enjoy things more at this age as you never know how much longer you're going to play. Hopefully I can keep going for many more years like this because I feel good physically and mentally.
"At last I scored, as this year I've hit the woodwork a lot and missed a lot of chances. It was an important goal at the end of a good move. Rodrygo took on three players and laid a good ball off for me. It was a good goal that helped the team grow in confidence. We dropped off too much near the end of the game and allowed Athletic to have too much of the ball.
“I've been on such an amazing journey at the greatest club in the world. I'm really grateful for everything that has happened and to reach 18 trophies is incredible. I hope to win more in the future."
Modric concluded with a message for the Madridista support.
“This trophy is for you. Thanks a lot for all your support. We have to stay together until the end of the season. I hope we can celebrate more trophy wins at Cibeles. Hala Madrid."
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