"A 48-hour period of treatment will be undertaken to assess their clinical evolution", PSG said.
The French club are at home to Toulouse on Saturday and will hope to extend their record-breaking start to the Ligue 1 season with a 14th consecutive victory, before playing Liverpool on November 28.
Liverpool now hold a one point lead over PSG heading into matchday five but the Ligue 1 giants would be banking on home advantage to put themselves back into one of the top two slots.
But the victory was overshadowed when Mbappe was hurt after falling awkwardly as he challenged the diving Uruguay goalkeeper Martin Campana for the ball.
However, doctor Rodrigo Lasmar told reporters that while a scan was needed to comfirm the exact diagnosis he did not think the injury to Neymar's adductor muscle would keep him out long.
France coach Didier Deschamps said Mbappe, the 19-year-old forward who shot to global prominence at the World Cup, "had some shoulder pain after his fall".
The Brazil captain was withdrawn after only eight minutes of action, though replacement Richarlison went on to score the only goal of the game.
France won thanks to Olivier Giroud's 52nd-minute penalty.
While PSG can afford to do without both in Ligue Un, they could need Neymar and M'bappe for their critical showdown with Liverpool at the Parc Des Princes next Wednesday evening.