Barcelona defender Gerard Pique rounded on his club's critics after the Catalan giants produced one of the greatest comebacks in football history, declaring: "We're still alive."

Barca scored three times after the 88th minute to stun Paris St Germain 6-1 at the Nou Camp on Wednesday night and win their Champions League last-16 tie 6-5 on aggregate.

No team in UEFA club competition history had ever successfully overcome a 4-0 first-leg deficit but Barca wrote themselves into the record books thanks to goals from Neymar (two), Luis Suarez, Lionel Messi, a Layvin Kurzawa own goal and Sergi Roberto.

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Substitute Sergi Roberto stretched to stab home the winner from a Neymar centre five minutes into stoppage time to send the Nou Camp into ecstasy, and keep Barca on course for a trophy treble in what will be Luis Enrique's last season in charge.

Pique was part of the Barca side which claimed a dramatic Champions League semi-final victory over Chelsea in 2009 when Andres Iniesta struck a decisive stoppage-time equaliser, but the Spain international says that match pales in comparison to this one.

He said in AS: "I was there for Iniesta's goal at Stamford Bridge, but what happened today has no comparison. It's one thing to score a goal in the 95th minute and another to score three times in seven minutes.

"You can talk about a miracle, an historic party. Today I'm going to party even though I have training tomorrow. After tomorrow we will look to the league game."

Despite the fact they are still in with a chance of winning the treble - they are top of LaLiga, in the Copa del Rey final and now through to the last eight of the Champions League - Barca and their coach Enrique have come under fire for some of their performances this season.

Pique was keen to respond to the naysayers after Wednesday's match, saying: "I understand that there are many people who want to bury us, coaches like (Arrigo) Sacchi, (Raymond) Domenech and I can give a list of many more coaches...but we've shown that we're still here, that we want to win.

"There will be a day when we fall down, but we're still alive."

Pique also said outgoing boss Enrique deserves the plaudits.

Enrique announced last week that he will be leaving Barca at the end of the campaign, having already won eight out of a possible 10 trophies since replacing Gerardo Martino as boss in 2014.

Pique said: "He's not had the best of treatment and I think his role has been key. I would like him to dominate the front pages because his planning and the way he approached the game has led to our qualification. He deserves all the praise."

PSG defender Thiago Silva felt there were refereeing decisions that went against his side in the end - highlighting the stoppage-time penalty given for a supposed foul on Suarez that Neymar ended up scoring from - but conceded they did not deserve to go through.

The Brazil international said on his club's website: "It's inexplicable, we didn't play today. It's difficult, because we didn't manage to put our game in place and qualification got away from us.

"We got a very good result in the first leg, but this evening, we didn't deserve to go through to the quarter-finals.

"It's not an excuse, but there was no foul on Suarez, and we could have had one of our own. Having said that, we musn't blame the referee, because we weren't able to play our game."