"I think the exchange of views was very positive," Putin said in remarks broadcast by Russian television from France, where he attended ceremonies marking the 70th anniversary of D-Day alongside US, British, French and German leaders.
He added that he spoke on two occasions with Obama, "in a rather substantial manner".
Putin was also positive about Ukraine president-elect Petro Poroshenko.
"I cannot but welcome the position of Poroshenko on the necessity to end the bloodletting immediately in the east of Ukraine," he said.
"He has a plan, which -- it's probably better to ask him. He explained it quickly to me," he added.
"Ukraine must demonstrate its good will. The repressive operation must be stopped.
"I hope that will happen, and if that happens, the conditions would be there for the development of our relations in other areas, including economic."
Putin in particular raised the issue of Russian gas deliveries to Ukraine, saying that the two parties were close to a deal.
"We do not exclude making a gesture to the Ukrainians, by lending them some support in the case that they repay their debt," he said.
Ukraine's third "gas war" with Russia in less than a decade erupted when Moscow nearly doubled the price it charges its neighbour for the fuel.
Kiev accused Moscow of "economic aggression" and refused to cover a bill that Russia puts at USD 5.17 billion.
Russian gas transiting through Ukraine supplies about 15 per cent of European needs.
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