Holders Paris Saint-Germain laboured to a 1-0 win at fourth-tier Wasquehal on Sunday to reach the last 32 of the French Cup, while Lyon and Monaco recorded thumping victories over amateur sides.
Zlatan Ibrahimovic headed home a Marco Verratti cross on the hour as the runaway Ligue 1 leaders maintained their unbeaten domestic run this season.
PSG coach Laurent Blanc rested several key players including Angel di Maria, Edinson Cavani and Thiago Silva, but still fielded a strong team with the likes of Ibrahimovic, Verratti, Blaise Matuidi and Thiago Motta.
"Getting back into competition is always the hardest part, even more so with the tricky weather conditions," said Blanc after PSG's first competitive game following France's short winter break.
"We would have liked to have played better to wrap things up earlier and make things easier but we weren't capable of doing that this afternoon.
"The most important thing is to move on and we've done that."
Elsewhere, Lyon made a promising start under new coach Bruno Genesio as Maxwell Cornet and Rachid Ghezzal scored twice apiece with Claudio Beauvue, Sergi Darder and Corentin Tolisso also on target in a 7-0 hammering of fifth-division Limoges.
Monaco hit double digits with a crushing 10-2 defeat of seventh-tier Saint-Jean-Beaulieu in a local derby as Lacina Traore scored four first-half goals before he was sent off for a half-time altercation.
Saint-Etienne were given a scare by Raon-l'Etape as the Ligue 1 side were taken to penalties following a 1-1 draw, eventually prevailing 4-3 in a shootout against their fifth-tier opponents.
Bordeaux came from behind to beat third-tier Frejus Saint-Raphael 3-2 with Diego Rolan grabbing a 90th-minute winner for the visitors after Cheick Diabate had twice levelled for Willy Sagnol's side.
Montpellier, who saw Pascal Baills and Bruno Martini take joint control of the first team after the resignation of Rolland Courbis last month, edged past fifth-division Epernay 1-0 courtesy of a second-half goal from Mustapha Yatabare.
Benjamin Jeannot scored an extra-time winner for Lorient as they overcame Ligue 2 outfit Tours 3-2, while Lille scraped past Amiens AC 1-0 with Guingamp comfortable 4-0 winners at Chantilly.