Update to this story.

DOHA, Qatar — Taliban leaders were debating on Friday whether to cancel peace talks with the Americans and the Afghan government because of criticism of their use of their flag and formal name at their new office here.

A senior Taliban official, speaking by telephone from Pakistan, said the insurgents were determined to keep their flag and also a sign declaring that the office belonged to the “Islamic Emirate of Afghanistan,” despite furious reaction from the Afghan government.

“The governments of America and of Qatar backtracked on the promise they made to us on the flag and the name,” the official said. “It was agreed we could use them. But because of the Kabul regime they backtracked.” The official, who indicated that he was in regular contact with Taliban delegates here, spoke on the condition of anonymity because the group’s leaders in Quetta, Pakistan, have canceled all interviews until they decide on a unified public response over the flag issue.

American officials insisted that no such assurances had been made to the Taliban, and the government of Qatar said the office could be known only as “the political bureau of the Afghan Taliban in Doha.”