So, what chance do Villa have of hauling themselves back into this tie and even winning it?
It should be noted that similar comebacks have been achieved before.
Nine teams have been exactly two goals down after an away leg in a knockout Champions League tie and managed to successfully turn things around at home.
The most recent to do that were Juventus, who lost 2-0 at Atletico Madrid in the 2018-19 last-16 stage but won their second leg 3-0.
Paris St-Germain have twice surrendered two-goal leads at the halfway stage of a Champions League knockout tie to be eliminated – the most of any club. It occurred for them against Chelsea in 2013-14 and against Manchester United in 2018-19.
Famously, PSG once surrendered a four-goal first-leg advantage against Barcelona, winning 4-0 at home but losing 6-1 at the Nou Camp.
That happened in 2016-17 when the French side were managed by Emery, and when PSG’s current boss Luis Enrique was in charge of Barcelona.
Could the comeback roles be reversed this time? The prospects look slim.
Paris St-Germain have been formidable on the road this season, winning on their last 16 away trips in all competitions.
Defenders Marquinhos and Presnel Kimpembe are the only two players from the PSG squad who were stunned by Barcelona eight years ago who are still at the club.
Former England defender Stephen Warnock believes PSG’s tie with Villa is “massively” in the French side’s favour.
“In the first leg PSG were hoping to draw them out of defence and almost give them false hope by leaving spaces for them to attack into,” Warnock told BBC Sport.
“Villa are going to have the same problem in the second leg too, especially with the score at 3-1.
“Now they will have to go at them, which opens up the game for PSG on the break. If Villa were 2-1 down they could stick with the way they played in the first half on Tuesday, knowing they can nick a goal and level the tie.”
Sensibly, those in the PSG camp have stressed the quarter-final is far from over.
Head coach Luis Enrique told TNT Sports it will be “difficult” for his team at Villa Park, and goalscorer Khvicha Kvaratskhelia told BBC Radio 5 Live: “The job is not finished.”
