Ali Larijani, head of the Iranian Supreme National Security Council, held five-hour talks with Igor Ivanov Friday.
Iran has been at the center of international concerns this year following its resumption of uranium enrichment, which some countries suspect is a covert nuclear weapons program.
The Islamic Republic may face tough UN Security Council sanctions as Britain, France and Germany - the EU-3 - have proposed a ban on sales of missile and nuclear technologies to the country, freezing its military bank accounts, and imposing visa restrictions on Iranian officials linked to the nuclear industry.
Russia, which has consistently supported Iran's drive for nuclear power and is building a $1 billion power plant in the country, has rejected the European draft resolution on Tehran, calling the proposed sanctions excessive.
Under the draft, the construction of Russia's Bushehr NPP in southern Iran would not be banned, but fuel supplies to the plant would be restricted, and Russia wants all references to the Bushehr nuclear power plant removed from the document. Moscow submitted its amendments last Friday.