Marseille returned to the top of Ligue 1 with a 3-1 victory over Bordeaux on Sunday, with Montpellier also victorious.
Nantes had goalkeeper Remy Riou to thank for holding out a late onslaught in a goalless draw with St Etienne.
Nantes extended their unbeaten run in Ligue 1 to eight games with a 2-1 win at Caen on Saturday night.
Marseille are four points clear at the top of Ligue 1 after a 2-1 win over Lens on Sunday, while Bordeaux beat Toulouse.
Nantes were denied a place in the top four of Ligue 1 after being held to a 1-1 home draw by local rivals Rennes at a raucous Stade Beaujoire.
US Creteil-Lusitanos claimed the biggest shock of the Coupe de la Ligue third round when they beat Lens 2-0.
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