Lionel Messi of FC Barcelona looks dejected during the match against PSG on Wednesday in Paris, France. Photo: VCG

Lionel Messi scored one stunning goal but then had a penalty saved as Barcelona failed in their attempt to produce a second Champions League comeback for the ages against Paris Saint-Germain on Wednesday, a 1-1 draw taking the French side through to the quarter­finals 5-2 on aggregate.

Kylian Mbappe netted a hat trick as PSG stunned Barca 4-1 in the first leg last month, and he extended their advantage in this last-16 tie by netting a first-half penalty in the second leg to put last season's runners-up ahead on the night.

But Messi made it 1-1 with a ferocious strike from 30 meters and the Argentine had the chance to put the visitors ahead after Antoine Griezmann was fouled in the area, only for the outstanding Keylor Navas to tip his spot kick onto the bar.

Barcelona certainly went for it, but there was to be no repeat of their infamous recovery against the same opponents four years ago, when they lost the first leg 4-0 but triumphed 6-1 in the return.

It is the first time they have gone out before the quarterfinals since 2007 and, after Juventus were knocked out on Tuesday, neither Messi nor Cristiano Ronaldo will feature in the last eight for the first time since 2005.

Barcelona coach Ronald Koeman can nevertheless be encouraged by the way his team played on a cold, wet and windy night at an empty Parc des Princes.

"We are out, and that is what counts in our sport, but we can feel good about it because we had chances to make life difficult for our opponents," Koeman told Movistar Plus.

"We deserved more, and things could have been different had it been 2-1 at halftime."

Barcelona have been a club in crisis for some time but they have a new president in Joan Laporta, who will hope to restore calm at boardroom level, and they can still hope to finish the season strongly domestically.

Meanwhile PSG are safely through to the quarterfinals as they look to go one better than last season and win the Champions League for the first time.

They will feel this tie marks another step forward in their quest to become Europe's dominant force, after three defeats at Barcelona's hands in knockout ties since the Qatar Sports Investments takeover of a decade ago.

Mbappe's tie, Navas' night

Victory was achieved despite Neymar missing both legs due to injury, with Mbappe providing enough stardust on his own.

Yet after lighting up the first leg, the French World Cup winner found the going tougher in the return, and coach Mauricio Pochettino will face some questions about his side's approach.

There were jitters, with Barcelona dominating almost from the first minute and squandering chance after chance in the opening half hour.

Poor decision-making from Ousmane Dembele did not help the away side, although he also saw one ball across the face of goal just escape the outstretched leg of Messi.

As an impromptu fireworks display broke out just outside the stadium, Navas then produced his first superb save midway through the first half when he turned Sergino Dest's shot onto the woodwork, and it was against the run of play that PSG went ahead.

Clement Lenglet caught the heel of Mauro Icardi in the area in the 28th minute, a foul that was almost invisible on first viewing but was confirmed by English referee Anthony Taylor after a VAR review.

Mbappe scored from the spot for his fourth goal in the tie and his 26th of the season.

Barcelona kept coming though, and Messi equalized with a shot from range that was like a tracer bullet that whistled into the top corner, not the kind of goal he scores often.

It was his 25th this season, and he could have scored again in first-half stoppage time as Layvin Kurzawa was penalised for catching Griezmann in the box.

However, Messi was denied by Navas, the former Real Madrid goalkeeper dousing Barcelona's hopes as he continued to do in the second half.

"Navas had a brilliant game. He is a world-class goalkeeper and you saw that tonight," said Pochettino.