Abdul Salam Rahimi and Fatima Gilani, members of a peace negotiation team representing the Afghan government, participated in a meeting with the Taliban negotiators in Doha, Qatar.
Both sides discussed current issues of the country and to step up peace talks, according to the government negotiation team.
Naeem Wardak, a Taliban spokesman for its political office in Qatar, meanwhile, said a team led by its deputy leader Mullah Baradar attended the meeting.
According to the Taliban spokesman, both teams agreed to resume talks after Eid ul-Fitr, Muslims festival after a month-long fasting in Ramadan.
The meeting comes as a U.S.-backed peace conference in Turkey is also scheduled to after Eid.
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