Vinicius Jr's goal just before the hour mark settled Saturday's showpiece at Stade de France, with Real indebted to a decisive goalkeeping performance by Thibaut Courtois.
Klopp said, "After the game when I saw the stats it was 50-50 possession. We had a lot more shots, a lot more shots on target, but the most decisive stat is absolutely on Madrid's side. Just to make sure that nobody thinks I wouldn't congratulate Real Madrid, I do that now but I [also] congratulated everybody present and involved outside personally.
"They scored a goal, we didn't, that's the easiest explanation in the world of football and it's hard, harsh to get anyway, [but we] respect that of course. When the goalkeeper is Man of the Match then something is going wrong for the other team, so we had I think three really big chances where Courtois made incredible saves. I would have loved to have had a few more of this calibre.
"In the last third we could have done better, a pass here, the crosses, especially towards the end of the game, towards Courtois made not too much sense. We had the best phase probably after they scored the 1-0, then we played immediately exactly in the spaces we had to play. In the first half there were good moments, when we found Sadio, next left to right from Casemiro, their centre-halves stayed deep, Sad could turn, arrived in the box.
"That was good. We wanted to play a bit more in their formation in the second half then around their formation. The problem is when you play against Real Madrid and they defend that deep, the counter-attacking threat they are is immense. You cannot ignore that. I saw us doing really a lot of good things, to be honest, but it was not enough and we take that."
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