As well as being perplexed at how their side lost, PSG fans will also feel aggrieved at some decisions that went against them early on.
Kvaratskhelia had a fine goal in the first half disallowed by the video assistant referee (VAR) for a marginal offside.
Ibrahima Konate was also fortunate not to be sent off after a last-man challenge on Bradley Barcola.
Referee Davide Massa decided it was not a foul at the time and, after a check, VAR opted against overruling the official.
But aside from Alisson’s heroics, PSG were also wasteful with 17 of their 27 attempts failing to hit the target.
“In the first half [PSG] were great and the thing that was missing was goals,” said former Man City defender Nedum Onuoha on BBC Champions League Match of the Day.
“The fluidity of the front three is so impressive. Whenever they got the ball they were looking to run at Liverpool, trying to glide past defenders and break into key areas to try to make chances.
“Unfortunately the final part, the most important part, was getting the ball in the net and that was missing.”
Slot added: “If you look at the underlying stats in the Champions League too it shows you they were number one, and they have already played Atletico Madrid, Manchester City, Bayern Munich and Arsenal. To have the best stats after facing that quality tells you a lot.
“For us the only way over here with their fans behind them was to defend as we did. Now we are hoping that our fans at Anfield will help us a lot. We will need Anfield two times.”