Paris Saint-Germain's goalkeeper, Gianluigi Donnarumma, celebrates at the final whistle of the Champions League quarterfinal second-leg match against Aston Villa. REUTERS

BIRMINGHAM, England — Their players were rattled. Their goalkeeper was pulling off save after save. For Paris Saint-Germain, it faced another brutal Champions League comeback loss.

This time, though, the French champion just about hung on.

PSG staved off a gallant fightback by Aston Villa to reach the semifinals of Europe's top competition, despite a 3-2 loss to the English club on Tuesday.

Holding a 3-1 lead from last week's quarterfinal first leg, PSG built a four-goal cushion thanks to goals by full backs Achraf Hakimi and Nuno Mendes inside 27 minutes at Villa Park.

Villa, cheered on by England's Prince William, roared back thanks to a deflected shot before halftime by Youri Tielemans, and then two goals in as many minutes from John McGinn and Ezri Konsa in the 55th and 57th, respectively.

Only a string of brilliant stops from PSG goalkeeper Gianluigi Donnarumma denied Villa a fourth goal, which would have taken the match to extra time and seen the French club blow another four-goal lead — just like it did famously against Barcelona in 2017, when current Villa manager Unai Emery was at the helm.

"I don't think we could have done anymore," Konsa said.

PSG advanced 5-4 on aggregate, knocking out a second Premier League team, after dispatching English champion-elect Liverpool in the round of 16. Next up could be another — Arsenal — which leads Real Madrid 3-0 from its first leg.

PSG was thankful to goalkeeper Donnarumma for keeping Emery's men at bay and preventing another famous collapse in the Champions League knockout stages.

"At the end, we had them suffering like we did," said Emery.

"To get to this level is the next step forward that I want to try to build with Aston Villa."

In Tuesday's other quarterfinal second leg, Barcelona advanced 5-3 on aggregate after losing 3-1 to Borussia Dortmund.

PSG advanced to the semifinals for the third time in five seasons, and this time it has done it without its "galacticos", with Neymar, Lionel Messi, and most recently Kylian Mbappe, having left the club.

Before the return leg against Villa, this new-look PSG side was being talked up as a potential Champions League winner, but that viewpoint might be checked given the way the team nearly collapsed at Villa Park.

"We believed in the end we were going to go through," Marquinhos, PSG's Brazilian center-back, told Amazon Prime.