Medvedev said that Russia urged "unbiased international monitoring" of the current Georgian leadership and was looking for "constructive dialogue with the EU and other international organizations."
The statement was made during a phone conversation with British Prime Minister Gordon Brown ahead of an EU emergency meeting in Brussels on Monday on the recent conflict between Russia and Georgia.
The conversation was held at the initiative of the British side.
The Russian president said that Russia was "fully implementing" the six-point French-brokered peace deal hammered out in mid-August between Medvedev and French leader Nicolas Sarkozy.
Georgia's parliament voted unanimously Thursday on a resolution urging the government to sever ties with Russia, which recognized the Caucasus state's two breakaway regions Abkhazia and South Ossetia earlier this week, in a move, condemned by Western countries as an "irresponsible decision."
Commenting on the issue, a spokesman for the British Foreign Office said it considered Georgia's decision as an internal affair, although adding that it was completely understandable.