According to the Iranian Labor News Agency (ILNA), the use of national currencies is needed to reduce dollar's influence on the economies and trade of the three countries.
"We have decided to proceed with further work in light of the agreements reached at a meeting with the Russian Central Bank governor in Moscow," Hemmati was quoted as saying by the news outlet.
Earlier, Erdogan called the Turkish lira's recent tumble a "currency plot" and announced Ankara's readiness to refuse the dollar in the country's trade with its partners.
Tehran, meanwhile, is turning to gold as a viable alternative to the dollar.
On Friday, the leaders of the Syrian ceasefire guarantor states — Iranian President Hassan Rouhani, Russian President Vladimir Putin and Turkish President Recep Tayyip Erdogan — held a trilateral summit in the Iranian capital of Tehran. The situation in Syria's Idlib and peace settlement process in Syria were at the heart of the discussions.