Most spoke for the home team PSG before the match at the Parc des Princes.
They won the first meeting 2-1 and Bayern had seven players away with covid-19.
PSG also took the lead after 17 minutes when Bayern goalkeeper Janina Leitzig made a real mistake.
Sandy Baltimore hit a post that the goalkeeper would tip over the crossbar, but it went all the way into goal.
The Swede lost the nod duel
But Bayern did not give up, but bounced back quickly.
Already two minutes later, it was equalized after Amanda Ilestedt had lost a nod duel and the Japanese Saki Kumagai shaved in 1-1.
Leitzig also got her revenge when after about 25 minutes she stood for an incredible pair of legs that kept the Germans in the double encounter.
The position stood a bit into the second when Bayern's Klara Bühl's shot found its way into the goal.
This meant that the double meeting was 3-3.
Both teams then had chances to decide and PSG's Kadidiatou Diani even had a ball in goal.
But it was rejected due to a rudeness against Leitzig.
The match went to extra time instead.
Swiss hero
With nine minutes left to play before the penalty kick, the emerging Swiss star Ramona Bachmann stepped forward and decided in front of jubilant home supporters.
2-2 in the match meant French advancement with 4-3 in total.
The other team that is already ready for the semifinals is reigning champion Barcelona.
It was not just the game that impressed the Parc des Princes.
The audience figure of 27,262 was a new record for PSG on the women's side.
Ilestedt played the whole match for PSG and Hanna Glas did the same for Bayern.
CLIP: Rolfö with assist in the record match - just over 90,000 in the stands
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Fridolina Rolfö got to cheer after the performance to the 3-2 goal in the record match.
Photo: Bildbyrån