In Coupe Gambardella (U19 Men's French cup); [round of 64 and round of 32]
12 goals in extra time: Douai SC-Amiens SC: 0-0 to 0-12 Coupe Gambardella 1998-99
10 goals in extra time: Besançon RC-Olympique Lyon: 0-0 to 0-10 Coupe Gambardella 1996-97
In Coupe des Dames 2017-18 (Luxembourg Women's cup) [round of 32]
11 goals in extra time: Union Mertert Wasserbillig-Aspelt Remich Bous Entente: 1-1 to 7-6 Soccerway
In UEFA Women's Champions League 2017-18 [Final]
5 goals in extra time: VFL Wolfsburg-Olympique Lyon: 0-0 to 1-4 UEFA
I also saw a match with 7 goals in overtime in the Coupe de France (French Cup) in round of 512 but I can not find the match in question.