"The zero choice would not be a choice that we would want," a statement released by the embassy late today quoted ambassador James Cunningham as saying during a meeting with a number of Afghan leaders and officials.
The idea of a "zero option" -- of leaving no troops behind -- was mooted earlier this year by US deputy national security advisor Ben Rhodes.
The New York Times reported this month that tense relations with President Hamid Karzai might see Washington quicken its troop withdrawal and possibly remove its entire military presence from the country.
Yesterday, General Martin Dempsey, chairman of the US joint chiefs of staff, met with Karzai, who stated that he was ready in principle to let American troops stay beyond 2014 as part of a long-term security agreement, which was suspended by the Afghans in June to protest the opening of a Taliban liaison office in Qatar.
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"President Karzai said with that hope, Afghans are ready to sign a security pact with the US, on condition that it leads to peace and stability in the country, the strengthening of Afghan forces and a united and sovereign Afghanistan," a palace statement quoted Karzai as saying during the meeting.
The US relationship with Karzai, while never good and often volatile, deteriorated further over stillborn peace talks with the Taliban in Doha.
Last week Karzai's chief of staff, Karim Khorram, claimed the Taliban office was part of a plot to break up Afghanistan, orchestrated by either Pakistan or the United States.