"Unfortunately, our ties are not in the best shape, trade turnover is falling including with France which only causes regret," Putin told Hollande in the Armenian capital Yerevan.
"I believe that we have to look for ways to restore our ties and I believe that it's in everyone's interest," he said, signalling Kremlin's desire to break out of international isolation.
Hollande for his part called on Putin to "move forward" with implementing the Ukraine peace accords struck in February.
In February, Hollande and German Chancellor Angela Merkel travelled to Moscow to help broker a peace deal for war-torn Ukraine in a last-ditch effort to stop months of fighting between pro-Russian separatists and Kiev forces.
Despite the ceasefire deal, European observers say both sides still exchange fire in eastern Ukraine.
The conflict has killed more than 6,000 people in the past year and displaced a million, according to the United Nations.
Ukraine earlier Friday accused Russia of resisting a peaceful end to the conflict.
The delivery of the first of two warships has been suspended for six months over Russia's role in the Ukraine conflict, straining ties between Paris and Moscow.
Hollande said this week that France would reimburse Russia if it fails to deliver the vessels.
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