The prime minister agreed that the peace talks dialogue should resume, National Security Council (NSC) secretary-general Paradon Pattanabut said after a meeting of the executive members of the Centre for Implementation of Policies and Strategies for Solving Problems in the Southern Border Provinces.
It was the first meeting of the centre since the end of the Muslim holy month of Ramadan on Aug 9, with the ineffective 40-day ceasefire agreement with the BRN due to end on Sunday.
The BRN has suspended talks, claiming the Thai security forces failed to protect Muslims during the fasting period against rebels within the separatist movement that it cannot control.
Separatists in Pattani, Yala and Narathiwat provinces, and part of Songkhla, have continued to wage war on Thai government security forces, despite the agreement, casting serious doubt on the ability of the BRN - and its main negotiator Hassan Taib in particular - to influence militants on the ground.
Lt Gen Paradon said Ahmad Zamzamin, the Malaysian official who facilitates the talks, had told the Thai side that Mr Hassan was still the lead negotiator.
The BRN demanded the Thai government bow to its demands before the next meeting. No date has been set.
They demand recognition as a liberation movement instead of a separatist group, that all detained suspects be released, and that outsiders including other members of the Association of Southeast Asian Nations, the Organisation of the Islamic Conference and non-governmental organisations be invited to witness the meeting, and that Malaysia be acknowledged as a mediator, not a facilitator.
Thai officials are due to have talks with the Malaysiam facilitator in Malaysia on Sunday.
The meeting on Thursday concluded Thailand could not settle on the BRN's demands. The centre's officials will reconvene on Aug 22-23.
Lt Gen Paradon said lack of clarity in the BRN demands, including some wording, and a legal interpretation on whether it needs parliamentary endorsement are needed.
Section 190 of the constitution states that all pacts affecting sovereignty are subjected to approval by parliament, he said.
The insurgency attacks continued in the southernmost region on Thursday.
Marines on patrol had a narrow escape when a bomb buried in the road detonated just seconds before they were to cross over a bridge in Bacho district on Thursday.
Reports said a 20-kilogramme home-made bomb planted near the bridge was set-off remotely as six marines from the Narathiwat 32 special task force were about to cross it on three motorcycles around noon.
Two marines received minor injuries in the blast in moo 1 village, tambon Barae Nua, which left a hole about one metre wide and one metre deep in the road.
The injured men were identified as Petty Officer 1st Class Attawut Insawarng, 24, and Private Songwut Rattanahiran, 21. They were riding the first of three motorcycles in the group, and sustained minor shrapnel injuries as the bomb exploded around two metres away from them.
The patrol was heading back to their base to have lunch after escorting members of the Barae Nue Tambon Administration Organisation.
Petty Officer 1st Class Attawut, who led the team, said they were lucky because the bridge structure blocked most of the flying shrapnel.