The talks were indefinitely postponed following last week's announcement that the Taliban leader, Mullah Mohammad Omar has died.
The announcement has triggered a succession dispute and revealed growing rifts within the two-decade-old Afghan insurgent group.
Pakistan, which is believed to wield influence over the group, hosted the first round of the talks earlier in July.
Tariq Fatemi, Prime Minister Nawaz Sharif's special assistant on foreign affairs, spoke today during a meeting the UN envoy to Afghanistan, Tadamichi Yamamoto.