Russian energy giants Rosneft and Gazprom have also started talks with the oil ministry of Iran to potentially sign deals worth up to US$10 billion, the Iranian adviser said, while a Russian government official confirmed to FT Russia's US$50-billion investment plans.
Elsewhere, Velayati said that both Iran and Russian Federation highlighted the need to continue cooperation in the region to support the legitimate governments of Iraq and Syria; President Putin agrees that this cooperation should continue in both the defense and the political sphere, he added.
However, he warned that if Iran and Russian Federation were to leave Syria in the current situation, terrorism would return to the Arab country again. "Russian Federation is prepared to invest in Iran's oil sector", the adviser, Ali Akbar Velayati, told Iranian state television from Moscow.
His visit comes as Iran braces for renewed US economic sanctions.
Velayati, a former foreign minister, said Tehran and Moscow share common interests.
Velayati also said Iran and Russian Federation would "continue to cooperate in Syria", where both countries support President Bashar al-Assad's forces in the seven-year civil war there.
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He also took a thinly veiled swipe at Donald Trump, saying the United States president's "unreliable" actions had made Iran's close ties with Moscow all the more necessary. Such a deal is still possible, Novak said. We will continue exporting our oil even under sanctions.
Pointing to the USA act in leaving the 2015 nuclear deal in May and vowing to return sanctions against Iran, he said that Iran will quit the deal, known as the Joint Comprehensive Plan of Action, if it does not enjoy the benefits of the agreement.
Israel has accelerated a mostly unspoken campaign of airstrikes across targets it associates with Iran in Syria.
According to The New Yorker, Israel has joined forces with Saudi Arabia and the United Arab Emirates and suggested to Trump that the U.S. should offer to cancel the sanctions it imposed on Russia four years ago, following Russia's annexation of the Crimea, in exchange for Russian action to remove Iranian forces from Syria.
Velayati said it the US -led coalition which has no permission from the Damascus government to act against Daesh.
Hamid AbuTalbi, an advisor to Iranian president Rouhani, commented on Velayati visit to Moscow adding that relations between the two countries is not a strategic one as Velayati describes it. "The U.S. demand on exit of the Iranian forces from Syria is aimed at creating division among Syria's allies", he said.