If Liverpool win 2-1 or 3-2, etc, Napoli will qualify on the away goals rule.
PSG defended brilliantly in the second-half to hold onto the win, and here is how we rated Liverpool's players after the match...
Marco Verratti was running the game in midfield, although the Italian was fortunate not to be sent off for a risky tackle on Joe Gomez midway through the first half.
After four successive away defeats in the Champions League for the first time, Liverpool must now defeat Napoli by two goals at Anfield to be sure of qualification.
"I don't know how they return home and talk to their families and wives".
Di Maria brought down Sadio Mane just inside the area.
The experience of Thiago Silva at the back for PSG was vital, as the Brazil global was as solid as can for the Parisian club all evening.
First of all, the result: PSG had to win at all costs and did so.
The pressure is on Thomas Tuchel and PSG
Verratti's challenge on Gomez came midway through the first half, but PSG survived that and went on to double their lead thanks to a clearly wound up Neymar.
Despite the threat of dropping into the Europa League, Milner said that the prospect of playing in UEFA's Thursday night competition has not even been mentioned at Anfield. However, Jurgen Klopp's side were completely overrun in the opening stages at the Parc des Princes.
An uncharacteristic error by Virgil Van Dijk saw the Holland defender half-clear Mbappe's shot to Bernat and he cut inside to squeeze a right-footed shot between the closing Joe Gomez and Jordan Henderson with the ball taking a deflection off the defender.