Dortmund star Marc Bartra is still missing as he recovers from last week's bomb attacks What are the Monaco vs Borussia Dortmund teams?
Mbappe suggested Monaco's attacking tactics and their teamwork have been the decisive factors in the Ligue 1 leaders making it to the semi-finals of the Champions League for the first time since 2003-04, when they lost to Porto in the final.
In another quarterfinal match, there was a goal fest as hosts Monaco hammered German club Borussia Dortmund 3-1.
Falcao squandered a chance to extend Monaco's lead in the 65th minute when he was played through on goal, but the Colombian fired over the bar with only Roman Burki to beat.
Dortmund last reached the last-four stage in 2013, when they went on to lose in the final to Bayern Munich.
Falcao's diving header, the 27th goal of his comeback season, made it 2-0 in the 17th minute.
AS Monaco are through to the semi-finals of the Champions League after brushing aside Bundesliga giants Borussia Dortmund.
Not conceding them, however, is somewhat hard against a Monaco side that has scored 138 goals this season, and boasts one of the hottest talents in football.
"In the first leg it was impossible to be at a normal level, in terms of concentration".
But Monaco ensured there was no way back when substitute Valere Germain scored with his first touch with eight minutes remaining to secure a 6-3 aggregate win. "But we expect a much stronger Dortmund team".
'I hope that Mbappe continues with us for a long time and gives us many great nights of football.
"It's been an incredible season and we're a bunch of mates who manage to enjoy ourselves out on the pitch", Mbappe said.
Dortmund said on its Twitter feed that the bus had been held up by police at their hotel for 20 minutes.
"Over both games we have the feeling that everything that could go wrong went wrong", he said.
It got worse for Dortmund when Sven Bender scored an own goal in the 35th minute.
Monaco were without influential Brazilian midfielder Fabinho, who missed a penalty in the first leg, due to suspension, so Tiemoue Bakayoko and Joao Moutinho partnered one another in midfield. I think the players are ready.
"We played a very solid game, we were in control but we showed ambition".
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