A dominant PSG looked set to take the lead early in the game but goalkeeper Steve Mandanda thwarted their attempts and saved a penalty from Mbappe in the 37th minute.
Browsing: French Cup final
Paris St Germain forward, Neymar, has been handed a three-match ban and an additional two-match suspended ban for an altercation with a spectator following their French Cup final loss to Stade Rennes in April.
His side, Paris Saint-Germain, suffered a shock defeat to 11th place Rennes in the French Cup final on Saturday after the minnows triumphed 6-5 on penalties following a 2-2 draw.
Marco Verratti scored a rare goal for Paris St-Germain as they beat Nantes 3-0 at home to reach the French Cup final on Wednesday.
But, according to his spokesman on Wednesday, he is optimistic of recovering in time for the 2018 FIFA World Cup in Russia.