Real did enough to win 1-0, with Mbappe winning and converting a second-half penalty for the only goal of the game.
He said afterwards, “It's the first game of the season and it's important for us to start with a win at home. We knew it was going to be a tough game, because Osasuna had a clear plan to wait for us to counter-attack and play through Budimir. We knew that and we worked on it.
“In the first half, we didn't have much space and we tried to play back and forth. Then we had more chances. We scored early in the second half and had more control. We wanted to score the second, but it didn't happen. We're happy with the win. We're positive, but we're going for more.”
On coach Xabi Alonso, Mbappe added: “He wanted us to have plenty of control of the ball. Playing in the opposition half and from one side to the other to make the other team run and give us space. We've been working on that all week. We did it well. There are things we can improve on, because it's the first game of the season and we've just come back from holiday. We're going to keep improving.”
The win also marked Mbappe's first competitive game at the Santiago Bernabeu wearing the No10 shirt.
“It's special, an important number here," said the Frenchman. "I wore the number 9, which also was. I've been lucky enough to have two important numbers in two seasons, but the most important thing is to play here, at the Bernabéu, for Real Madrid.”