Neymar strained his right adductor muscle and had to come off seven minutes into Brazil's 1-0 win over Cameroon on Wednesday (AEDT), while fellow forward Mbappe fell awkwardly before half-time in France's 1-0 victory over Uruguay and was also withdrawn.
"They will undergo a 48-hour period of treatment before further evaluation," PSG said in a statement.
The French club are at home to Toulouse on Sunday and will hope to extend their record-breaking start to the Ligue 1 season with a 14th consecutive victory, before playing Liverpool on November 29.
PSG sit third in Champions League Group C, a point behind leaders Napoli and Liverpool with two matches left to play.