The win means that Atletico, who were knocked out of the group stage of Europe's elite competition last season, advanced to the knockout stages, provisionally leading Group A with 12 points from five games.
"He didn't even whistle a foul".
Liverpool protested that Verratti should have been dismissed for a bad foul on Gomez, but the Italy global dominated midfield with a classy display. It will not stay like this.
An expected late surge by Liverpool never came, and Klopp's side must now earn a third straight win at Anfield on December 11 to advance.
PSG's 40-year-old goalkeeper Gianluigi Buffon had a relatively easy evening at Parc des Princes, while at the other end Liverpool's Alisson had to make saves to keep the scoreline close.
PSG had only won one of their previous seven games in the competition.
"The number of interruptions in the game was not cool", said Klopp. It doesn't happen that often to be 100% honest, but it happened tonight and we were not calm enough.
PSG Vs. Liverpool Live Stream: Watch Champions League Game Online
They were presented with a glorious chance of getting back into the game with eight minutes remaining when Atletico defender Stefan Savic handled in the area and was sent off for a second yellow card.
Klopp admits Liverpool's slow start against Thomas Tuchel's side ultimately cost them, but felt any hopes of a comeback after half-time were undermined by cynical play from the hosts.
"I would like to know how much time they wasted".
"We've seen in some parts, wow what a player he looks".
"When you saw their line-up, the approach they chose was full risk, especially in the beginning, to try everything as long as your legs carry you".
"But the frustrating thing is how we conceded the goals and then it's always hard to come back".
PSG were deserved 2-1 winners based on the quality of their attacking play, but the likes of Neymar and Kylian Mbappe were once again guilty of diving and gamesmanship. We don't need to think we are a shit team, basically. But it still feels a bit rubbish and now we have to use Anfield one more time.
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Police organise scores of River games every year and know where potential flashpoints are likely to occur. The match has been rescheduled for Sunday and will kick off at 5pm local time (8pm GMT).