Zangeneh's visit coincides with the re-imposition of unilateral sanctions by the US.
Russia as a permanent member of the United Nations Security Council has usually opposed Washington's stances on various issues, including the Iran's nuclear deal, Palestine, Syria, Afghanistan and Venezuela.
Moscow has also vetoed a number of anti-Iran resolutions with the latest one in February that was proposed by Britain.
Russia is one of the most influential players in the global oil and gas markets due to its large reservoirs and huge amount of energy exports. Many consider Moscow to be the leader of non-OPEC exporters with a major role in price control of the global markets.
The Iranian oil minister is also scheduled to meet and hold talks later on Monday with his Russian counterpart Alexander Novak.
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