American and Taliban officials have agreed in principle to the framework of a deal in which the insurgents would guarantee to prevent Afghan territory from being used by terrorists, and that could lead to a full pullout of American troops in return for larger concessions from the Taliban, the chief United States negotiator said Monday.

The American envoy, Zalmay Khalilzad, said those concessions must include the Taliban’s agreeing to a cease-fire and to talk directly with the Afghan government, issues that the insurgents have doggedly opposed in the past.

“We have a draft of the framework that has to be fleshed out before it becomes an agreement,” Mr. Khalilzad said in an interview with The New York Times in Kabul. “The Taliban have committed, to our satisfaction, to do what is necessary that would prevent Afghanistan from ever becoming a platform for international terrorist groups or individuals.”

Read more: New York Times