Mullah Abdul Manan Niazi told a group of around 200 followers in eastern Afghanistan that his faction had no faith in the government but was willing to negotiate without preconditions.
Niazi is deputy to Mullah Mohammad Rasool, who split from the Taliban last summer after Mullah Akhtar Mansoor was chosen to succeed the group's late founder, Mullah Mohammad Omar.
Mansoor was killed earlier this month in a US drone strike in Pakistan and was replaced days later by a little known conservative cleric, Mullah Haibatullah Akhundzada.
Mansoor had refused to participate in a peace process initiated by Afghan President Ashraf Ghani that included Pakistan, the United States and China.
Also Read
Representatives of the four countries have held five meetings, without inviting the Taliban. Their aim is to chart a roadmap toward talks between the Afghan government and the insurgents to end the 15-year war, but the disarray within the Taliban has complicated those efforts.
"For us he is nothing more than a local policeman or a puppet of Afghan intelligence," he said.
Rasool's followers met in the mountainous Shindand district, near the border with Iran. Snipers on hilltops surveyed dirt roads leading to the area, which serves as the main base for the mobile fighters. The encampment where the meeting was held is only accessible by motorbike or horse.
The turbaned followers of Rasool - who is believed to have been detained in Pakistan - appeared to be armed with new weapons, including automatic rifles and grenade launchers.
The Taliban attacked checkpoints in the southern Helmand province late yesterday, killing four police, according to the provincial governor's spokesman, Omar Zawaq.
Among those killed was local police commander Safar Mohammad, who in recent years had successfully kept highways in the area open to traffic. Zawaq said another nine police officers and one soldier were wounded in the attack.