Taliban spokesman says the group's top political leader Mullah Abdul Ghani Baradar met with US peace envoy Zalmay Khalilzad and the men discussed "key aspects for a peaceful resolution of the Afghan issue."
A new round of peace talks between the Taliban and the US got underway in Qatar, as the foes continue to seek a way out of America's longest war.
The latest negotiations come as pressure builds for some sort of breakthrough in the gruelling Afghan conflict, with Washington jostling for a resolution.
According to a Taliban spokesman, the group's top political leader Mullah Abdul Ghani Baradar met with US peace envoy Zalmay Khalilzad and the men discussed "key aspects for a peaceful resolution of the Afghan issue."
Khalilzad, who has stressed "there is no final agreement until everything is agreed," has previously outlined the basic framework for a deal.
The pact would see the US agree to pull its forces from Afghanistan in return for the Taliban vowing to stop terror groups ever again using the country as a safe haven.
According to the Taliban, Baradar told Khalilzad it was vital those two key points "be finalised."
The US embassy in Kabul confirmed only that talks were taking place.
Khalilzad, a former US ambassador to Afghanistan, has spent several months shuttling between Asian capitals and Washington in a bid to build consensus for a deal.
On Sunday, the Afghan-born envoy said Washington was "a bit impatient" to end the war, given its $45 billion annual cost to US taxpayers and the continued toll on US forces, some 2,400 of whom have been killed since the US-led invasion in response to the September 11, 2001 attacks.
US President Donald Trump provided additional momentum when in December he told advisors he wanted to pull about half of America's 14,000 troops from Afghanistan.
Mega meeting in Kabul
Despite several rounds of negotiations between the US and the Taliban, none of the talks thus far have included the Afghan government, which the Taliban views as a puppet regime.
That means that even if the US and the Taliban can agree on a deal and a timetable for an eventual troop withdrawal, the insurgents must still forge some kind of accord with Afghan politicians and tribal elders before an enduring ceasefire could kick in.
An initial attempt for an "intra-Afghan dialogue" – due to take place last month in Doha – collapsed at the last minute amid bickering over the lengthy list of delegates Afghan President Ashraf Ghani wanted to send.
Separately, thousands of Afghan politicians and representatives are meeting in Kabul this week at a "loya jirga" peace summit to discuss conditions under which they could envision a deal with the Taliban.
Among top concerns are that the Taliban would try to undo advances in women's rights, media freedoms and legal protections.
Mohammad Omar Daudzai, Ghani's special envoy for peace, welcomed the fresh US-Taliban talks and described how the jirga could feed into peace talks.
"The jirga sets a logical beginning for the peace process," Daudzai told reporters. "The people in the jirga will decide and set boundaries and the framework of talks."
Khalilzad went to Moscow last week, where Russia and China voiced support for the US plan for a peace deal and stressed the need for intra-Afghan dialogue that would see all sides in Afghanistan at a negotiating table.
He tweeted on Wednesday that he was in Doha and had met with the Indonesian foreign minister, who offered support for the talks.
Meanwhile violence across Afghanistan continues apace, and the Taliban last month announced the start of their annual spring offensive.