KABUL, Afghanistan — The Taliban’s internal debate over whether and how to negotiate with the Afghan government is playing out in the open, even as there have been renewed attempts to restart talks.

Breaking with nearly 15 years of public silence, Sayed Muhammad Tayeb Agha, who until recently was the Taliban’s chief negotiator and head of their political commission, issued a letter about peace talks to the insurgency’s supreme leader over the summer and discussed reconciliation efforts in an interview with The New York Times in recent days, his first on the record with a Western publication in years.

In the letter, a copy of which was obtained by The Times and appeared in the Afghan news media, Mr. Agha supported the idea of talks, and said the insurgency should be urgently trying to position itself as an Afghan political movement independent from the influence of Pakistani intelligence officials who have sheltered, and at times manipulated, the Taliban since 2001.

Mr. Agha led efforts to open the Taliban’s political office in Qatar in 2011, and he was instrumental in negotiations that led to the release of the last known American prisoner of war held by the Taliban, Sgt. Bowe Bergdahl, in exchange for the release of five Taliban detainees from the American prison camp at Guantánamo Bay. But he became disgruntled over the internal power struggle that broke out in 2015 after the death of the movement’s founder, Mullah Muhammad Omar, for whom he was a trusted aide. He remains in exile abroad.