The US and Afghanistan say they have resolved disagreements on a bilateral security deal after lengthy talks in Kabul, although differences remain.
President Hamid Karzai said they were still divided over immunity for US soldiers who stay in Afghanistan after next year's Nato withdrawal.
US Secretary of State John Kerry said Afghan sovereignty would be respected.
The talks were overshadowed by a US operation to capture a senior Pakistani Taliban commander.
Latif Mehsud was reportedly seized in eastern Afghanistan after talks with Afghan intelligence officers over a mooted prisoner-swap deal, and his capture is said to have angered President Karzai.