PSG sporting director Leonardo was involved in an altercation with referee Alexandre Castro in the players' tunnel after the match when the former Brazil international appeared to barge the match official.
The French Football League Disciplinary Commission (LFP) will review the video evidence, which could lead to a fine for Leonardo and PSG.
However, the LFP also has the option of deducting points from the Parc des Princes side with just three matches of the Ligue 1 season remaining.
Castro also booked four PSG players during the game, which saw Leonardo complain about the official after the game (L'Equipe via Sky Sports).
Leonardo believes the mounting suspension list could hurt his team's title hopes, but the possibility of him costing the club their first championship for 19 years seems remote, leaving PSG players such as Zlatan Ibrahimovic and David Beckham to breathe easily again.
While the LFP has the option of deducting points for the offence, it has never followed that directive for similar previous offences.
Leonardo can brace himself for a sturdy fine for his actions, despite protestations that he was pushed toward the match official as he told L'Equipe (via ESPN).
It's the delegate in front of me, with a black ear-piece, who blocked my path. It's him who pushed me into the referee.
Look at the pictures: I don't touch the referee with my shoulder but with my back. Because I was the one pushed. It is me who was assaulted. The referee doesn't have the face of someone who's been attacked. That's because there was no violence on my part.
Fortunately for PSG, the incident has the look of a playground spat with no vicious intent on the part of the Brazilian, merely the surly reaction of a child.
But it is an issue the team could do without after nerves appeared to play their part in failing to deliver three points against 12th placed Valenciennes.
PSG travel to third placed Lyon Sunday, a day after Marseille play host to Toulouse.