The insurgent official, speaking on condition of anonymity, explained the "preliminary" dialogue focused merely on "laying the groundwork for future contacts and meetings" between the Taliban and the U.S.
In Kabul yesterday, Shah Hussain Murtazawi, deputy spokesman for Ghani, repeated the government's oft-stated position that peace talks should be "Afghan owned and Afghan led, any assistance the allies provide (would be in) a supportive role". It was long realised by the USA that the Afghanistan war can only have a political solution. It will effectively ensure that the Taliban and other insurgent groups will hold on to territory that they have already seized, leaving the government in Kabul to safeguard the capital and cities such as Kandahar, Kunduz, Mazar-i-Sharif and Jalalabad.
A general view of the Taliban office in Doha, Qatar.
The U.S.is reportedly building off last month's first ever nationwide ceasefire.
The Taliban has already held their first direct contact with USA official in a preliminary discussion about future peace talks, a senior member of the insurgent group claimed on Saturday.
Taliban's five-year rule over at least three quarters of Afghanistan came to an end when the US and its allies invaded the Asian country on October 7, 2001 as part of Washington's so-called war on terror.
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Pointing towards the talks between the U.S. and Taliban in Qatar, Abdullah said such contacts were being made in the past as well and have positive impact on the ongoing efforts for reconciliation.
NYT noted that the Taliban have long maintained an informal "political office" in Doha for the goal of restarting the long-dormant peace process.
During a news conference last month in Brussels, Gen. John W. Nicholson Jr., the commander of the American-led coalition in Afghanistan, said remote outposts were being overrun by the Taliban, which was seizing local forces' vehicles and equipment.
The current leadership, most of whom are Mullah Omar's contemporaries, still believe their future in Afghanistan can be guaranteed only if the United States' concerns are addressed. The US media say the White House has ordered American diplomats to seek direct negotiations with the Taliban.
British ambassador to Afghanistan Sir Nicholas Kay said on Sunday the British government supports all efforts to get the Taliban to the negotiation tables.
This week's meeting involved several members of the Taliban political commission, Ms Wells and other unidentified American diplomats, the report added.
His release was eventually secured in May 2014 in exchange for the five Taliban prisoners, who are living in Doha.