Antoine Kombouare has been tasked with turning around Toulouse's faltering season following the departure of Alain Casanova.
Neymar's future remains unresolved but injuries to Edinson Cavani and Kylian Mbappe could affect PSG's decision.
Eric Maxim Choupo-Moting scored twice as PSG beat Toulouse 4-0, but the Ligue 1 champions lost Kylian Mbappe and Edinson Cavani to injury.
Neymar was not in the Paris Saint-Germain squad to face Toulouse, with Thomas Tuchel losing Edinson Cavani to injury in the opening stages.
Overlooked for the squad to face Toulouse, Neymar's future at Paris Saint-Germain appears to remain in the balance.
Kylian Mbappe scored twice for France in the international break and continued his purple patch for Paris Saint-Germain against Toulouse.
Toulouse defender Jean-Clair Todibo was due to join Barcelona in July but will now play for the LaLiga giants for the rest of this season.
Jean-Clair Todibo will join Barcelona on July 1 when his contract at Toulouse expires.
A total of five Ligue 1 games scheduled to take place in matchweek 18 have been cancelled due to the ongoing unrest in France.
National 3 side Pontivy will host holders Paris Saint-Germain in the Coupe de France as Thomas Tuchel gets a first taste of the competition.