The details of the draft were given to Reuters by Taliban sources at the end of six days of talks with U.S. special peace envoy Zalmay Khalilzad in Qatar aimed at ending the war, more than 17 years since American-led forces invaded Afghanistan.
It stipulates that troops would leave within 18 months of the agreement being signed.
While no joint statement was issued, Khalilzad tweeted later that the talks had made "significant progress" and would resume shortly, adding that he planned to travel to Afghanistan to meet government officials.
"Meetings here (in Qatar) were more productive than they have been in the past. We have made significant progress on vital issues," he wrote, adding that numerous issues still needed work.
"Nothing is agreed until everything is agreed and everything must include an intra-Afghan dialogue and comprehensive ceasefire," he wrote in the tweets.