Vladimir Putin has suggested several times that leaders of Britain, China, France, Russia, and the United States discuss the pandemic that has killed more than 145,000 people.
In a phone call, Putin and Emmanuel Macron "discussed the possibility of organising a working meeting of leaders of the five permanent members of the UN Security Council in the form of a video conference," a Kremlin statement said.
It added that Macron had expressed thanks for Russian help in getting French citizens back home during the pandemic and ensuring the transportation of medical supplies across Russian territory.
Last week, UN Secretary General Antonio Guterres urged the Security Council to support efforts to battle COVID-19, calling it the "fight of a generation".