Brendan Rodgers said this mauling by Paris Saint-Germain brought more encouragement than Celtic’s seven‑goal thrashing by Barcelona last season. Moussa Dembélé fired the visitors into a first-minute lead but that only riled the home side, who reacted to the concession of a first goal in this season’s Champions League in style.

A Neymar double was followed by goals from Edinson Cavani and Kylian Mbappé before the break and the Ligue 1 leaders, who had won 5-0 at Parkhead in September, were just as ruthless in the second half with goals from Marco Verratti, Cavani and Dani Alves completing the rout.

Rodgers said: “We conceded seven goals in Barcelona when I first came in and I was very disappointed after that. But in a strange way, I thought there were lots of good moments in this game.

“There are lessons for us, we can keep the ball better and defend better but you also have to admire the sheer quality of PSG. You can’t analyse the game and not talk about them, they must have had 11 shots and seven went in and with quality.

“So it was a sore one for us but certainly I am nowhere near as disappointed as I was, funnily enough, against Barcelona.”

Rodgers’s side will now have to recover to try to clinch their Europa League spot in their final fixture against Anderlecht in Glasgow next month.

They made a stunning start here. In the first minute Alves conceded a corner with a careless pass back and when Olivier Ntcham played the ball to his fellow countryman he drove it high past the goalkeeper Alphonse Areola from 16 yards.

The home side were rattled but they levelled rather easily in the ninth minute through Neymar, the Brazilian taking a pass from the midfielder Adrien Rabiot from an angle and steering it past Craig Gordon.

Edinson Cavani scores PSG’s third goal from close range. Photograph: Catherine Ivill/Getty Images

Celtic endured another blow when the right-back Mikael Lustig went off injured to be replaced by the stand-in defender Nir Bitton. Celtic, however, kept pressing PSG and Ntcham came close with a 20-yard drive but Neymar showed his class again in the 22nd minute when he played a one-two with Verratti and clipped the ball past Gordon and in off the far post.

Cavani missed the target but only by inches with a left-footed volley before a header across goal from Neymar in the 28th minute, following a Julian Draxler cross, allowed him to volley in the third from close range.

Celtic were now in a state of shock. The fourth came in the 35th minute when Celtic failed to deal with a Neymar free-kick into the box and the ball fell to the unmarked Mbappé who, from 10 yards, drove through Gordon and into the far corner.

Gordon then had to make a fine save at close range from an Mbappé volley after he had latched on to a sublime Neymar pass and the interval whistle arrived as respite.

Dembélé screwed a Scott Brown pass wide of the target early in the second half as PSG began to play keep ball before stepping it up again in the latter stages.

Gordon had no chance in the 75th minute when Verratti drilled the ball through a packed defence after Mbappé’s cutback had been cleared to his feet.

Cavani volleyed in number six from a tight angle three minutes later before Dani Alves curled in number seven from outside the box as demoralised Celtic prayed for the final whistle to end their nightmare.