Corentin Tolisso struck twice as Bayern Munich avenged September's defeat at Paris Saint-Germain with a 3-1 victory in Bavaria on Tuesday, but the French side finished top of Group B.
With both teams already through, Bayern needed to win by four goals to usurp PSG having lost 3-0 at the Parc des Princes.
Bayern raced into a 2-0 half-time lead thanks to goals by Robert Lewandowski and Tolisso and although Kylian Mbappe calmed the visitors' nerves just after the break, Tolisso scored a superb third for Bayern.
The result means the Parisians finish as group winners with a better goal difference across the two head-to-head matches, while the Germans restored pride.
"The key to our success was the attitude of the whole team," said Bayern head coach Jupp Heynckes. "Tactially, we weren't just clever in the way we played, but also street-smart. Overall, we played a very good game and implemented what we set out to do."
PSG's Germany midfieder Julian Draxler admitted the home side were the better team on the night.
"Bayern did well, you can see that they are still up there amongst the best teams," said Draxler. "We have work to do because we need to play better in this type of match."
"We played too much as individuals and not enough as a team," the defensive midfielder continued. "When we played as a team, we were dangerous and could have scored more goals but weren't clinical enough.
"When we try to do everything on our own, it doesn't work."
WE DON'T FEAR ANYONE: CONTE
Antonio Conte insists Chelsea have nothing to fear in the Champions League last 16 even though his side could face a crunch clash with Barcelona or Paris Saint Germain after a 1-1 draw with Atletico Madrid saw them finish second behind AS Roma in their group.
Turkish side Besiktas or Sevilla, if they win their group, are other possible opponents.
"When you play this competition and you go through to the next round you must be ready to face the best teams," he said. "In this case we know we could play Barcelona, Paris Saint Germain or Besiktas.
"We must be ready. At the same time I think our opponent won't be happy to play against us. It is a fantastic competition. We reached the next round and we must be happy with this."