RIA Novosti agency citied, a spokesman for the Russian Foreign Ministry said that "the Russian President's Special Representative for Afghanistan Zamir Kabulov hosted a Taliban delegation in Moscow", without revealing the date the conversations took place.
The spokesman said that "the Russian side stressed the need to re-launch negotiations between the United States and Taliban."
He added that the delegates "Taliban for their part confirmed their desire to continue dialogue with Washington."
Expectations have been raised that a Taliban-US deal would reduce Washington's troop numbers in Afghanistan, while the group offers security assurances that the country, which has seen decades of conflict, will not be used as a haven for extremist groups.
But Trump revealed on September 7 that he had canceled an unprecedented meeting between him and Taliban representatives in the United States and announced that talks with the group had become "dead".