The first formal meeting between Pakistan’s government and a Taliban-nominated team has been held in Islamabad, officials say.
The talks are aimed at charting a “roadmap” for negotiations that will try to end a decade-long insurgency.
The government set out five conditions, including ending hostilities, saying a “journey for peace” had started.
The Taliban team agreed to travel to the north-west to discuss the conditions with the leadership.
Militants from the Tehreek-e-Taliban Pakistan (TTP) have been waging an insurgency inside Pakistan since 2007.
The talks initiative was announced last week by Prime Minister Nawaz Sharif, following a spate of attacks.
More than 100 people, including soldiers, died in Taliban attacks across the country in January. Thousands have been killed since the TTP came to the fore in 2007.
The first session lasted about three hours at Khyber Pakhtunkhwa House in Islamabad.
The head of the Taliban team, Maulana Sami ul-Haq, read out a joint statement afterwards. It listed five basic conditions that had been set out by the government side:
The Taliban team agreed to travel to Miranshah in the north-west to take the conditions to the leadership and pledged to report back to the government committee as soon as possible.
Both committees agreed that neither side should initiate an act that might damage the talks process.
The first session lasted about three hours at Khyber Pakhtunkhwa House in Islamabad
Taliban negotiators comprise, from left, Prof Ibrahim Khan, Mr ul-Haq, and Maulana Abdul Aziz
The statement also said that the Taliban side had sought clarification on the power and mandate of the government committee involved in the talks, and whether it could accept and act on demands made by the Taliban.
Both sides condemned recent violence.The chief negotiator for the government side, Irfan Siddiqui, said: “Today, we started the journey for peace, and both sides have agreed to complete it as soon as possible.”
The BBC’s Shahzeb Jillani in Pakistan says that while some have hopes for the process, others are deeply sceptical and see it as a sign of weakness on the part of the government.
Joining Mr Siddiqui on the government team was veteran journalist Rahimullah Yusufzai, former ambassador Rustam Shah Mohmand and a retired major from the ISI intelligence service, Amir Shah.
The Taliban refrained from naming representatives from within their own ranks and instead nominated pro-Taliban religious figures to represent their views.
The three-man TTP team comprised Mr ul-Haq, known as the “Father of the Taliban”; the chief cleric of Islamabad’s Red Mosque, Maulana Abdul Aziz; and the leader of Jamaat-e-Islami party, Ibrahim Khan.
The Taliban want to see Sharia (Islamic law) imposed throughout Pakistan and US troops to withdraw from the region.
Since taking office last May, Mr Sharif has come under mounting pressure to bring the violence under control, with many accusing his government of lacking a strategy to deal with the militants, correspondents say.
He recently said he wanted to end the insurgency by peaceful means, but has indicated that stronger military action will be used if talks fail.
Correspondents say some in Pakistan are worried the talks will only allow the militants time to gain strength and regroup. Previous attempts to engage the Pakistani Taliban in dialogue have all failed.