#Paris

Titleholder Paris Saint-Germain trailed early, led by three goals and ultimately held on for a pulsating 5-4 win over Bayern Munich in the semifinal in the first-leg match in Champions League history.

And there's still next week's second leg to come.

PSG built a 5-2 lead early in the second half thanks to two goals each from flying winger Khvicha Kvaratskhelia and Ousmane Dembele at Parc des Princes.

"We deserved to win, we deserved to lose, we deserved to draw," PSG coach Luis Enrique said.

"It was an exceptional match, I have never experienced a match of such intensity as a coach. I have never seen a rhythm like that, it was incredible, you have to congratulate all the players." Down by three goals, Bayern fought back brilliantly.

Defender Dayot Upamecano's header midway through the second half from Joshua Kimmich's free kick gave Bayern hope and Luis Diaz's stinging strike made it a one-goal deficit heading into next Wednesday's return leg in Munich. "I think something special can happen at home," Bayern coach Vincent Kompany said. Rather than scale back and defend more, Kompany said he was ready to take even more risks.

"There is no middle ground," he said. Harry Kane's penalty gave Bayern the lead in the 17th minute and Kvaratskhelia equalised soon after for PSG. Midfielder Joao Neves then headed PSG ahead from a corner. A dramatic first half saw Michael Olise equalise for Bayern after bursting into the area before Swiss referee Sandro Scharer awarded a penalty for PSG when a video review spotted a handball from Canada defender Alphonso Davies.Dembele fired the penalty past Manuel Neuer to send PSG ahead 3-2 at the break.