Russia has extended an invitation to 12 countries for consultations in Moscow on April 14.
Invitations would also be sent to the US, some Central Asian states and the EU for next month's meeting.
Taliban officials say it is possible the group may participate in the Moscow meeting, if invited. "Our response would be positive if we get a formal invitation," The Express Tribune quoted two Taliban officials as saying.
However, Afghanistan later said that it would welcome Russia's diplomatic efforts for peace and stability in the war-torn country.
The understanding between Kabul and Moscow came during the recent visit of Afghanistan's National Security Adviser Hanif Atmar in Moscow on March 17.
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