The agenda of the talks is not clear so far however foreign ministry spokesman Janan Mosazai said previous talks between the two nations were positive.
American forces are expected to switch to a support role, slightly earlier than originally scheduled, as Afghan troops take the security lead.
The negotiations come after Afghan President Hamid Karzai visited earlier this month and held talks with US President Barack Obama, during which the two men appeared to have hammered out some of the main sticking points.
But Obama warned that Karzai, with whom he has had a somewhat testy relationship, would have to accept the security agreement still under discussion granting legal immunity to US troops who remain behind.
The lack of an immunity deal with the Iraqi leadership eventually killed an agreement on stationing US troops in the country after the US pullout in December 2011.