Again Mr Medvedev made the agreement conditional on Georgia signing a pledge not to use force against Abkhazia.
Afterwards he said the EU delegation had handed him a letter, signed by Georgian President Mikhail Saakashvili, pledging not to use force.
The Russian president confirmed that his troops would pull out "from the zones adjacent to South Ossetia and Abkhazia to the line preceding the start of hostilities".
"This withdrawal will be implemented within 10 days after the deployment in these zones of international mechanisms, including not less than 200 observers from the European Union, which must take place not later than 1 October 2008," he said.
But he was uncompromising in his tone towards the Georgian government and the US.
"[Georgia] is trying to reinforce its military capability and some of our partners, especially the United States, are helping them in that."
Mr Medvedev accused the US of rearming Georgia under the guise of delivering humanitarian aid - a charge dismissed by Washington as "ridiculous."
In a mostly symbolic expression of displeasure with Moscow, the US state department said President Bush had pulled a US-Russia civilian nuclear pact from consideration by Congress.
The Russian and French leaders took part in more than three hours of talks, which also involved the EU foreign policy chief, Javier Solana, and the European Commission head, Jose Manuel Barroso.
Mr Sarkozy, who was pressing Russia to meet the terms of a ceasefire agreement he helped broker on 12 August, described the meeting as "fruitful".
President Sarkozy on the agreement with Russia
He said the exact details of the Geneva talks were still under discussion, stressing that the issue of refugees returning to their homes would be at the heart of the meeting.
Russia's call for international talks on the status of the two breakaway regions - part of the 12 August ceasefire deal - proved highly controversial.
President Saakashvili flatly rejected attempts to throw their status into doubt.
Mr Sarkozy has now arrived in Tbilisi, and at a late-night press conference President Saakashvili said that the French-brokered plan was a step forward.
Russian troops entered Georgia on 7 August after responding to Georgian attempts to reassert its control in South Ossetia.
The two regions have had de facto independence since a civil war in the early 1990s, and Moscow has strongly backed their breakaway governments.
Itar TassRussian Permanent Representative to the United Nations Vitaly Churkin has informed UN Security Council members of the results of Moscow negotiations between Russian President Dmitry Medvedev and French President Nicolas Sarkozy held on September - 5 hrs ago
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