The question of the presence of US troops in the country, which is condition-based, would also be soon discussed with the Taliban movement, Hunter noted.
According to the US envoy, the final disposition of forces will be determined with a peace settlement and with the establishment of a new government.
Hunter added that the United States is prepared to create a foundation for intra-Afghan talks, to begin as soon as possible.
The United States and the Taliban have held several rounds of talks and are preparing for the next summit with expectations of a breakthrough.
The Taliban would like to see foreign troops leave while the US seeks a guarantee that Afghanistan will not be used to shelter terrorists.
Taliban spokesman Suhail Shaheen earlier said that the US had agreed on troop withdrawals and that was the main outcome of talks to date.
The Taliban is a terrorist group banned in Russia and many other countrie