The U.S. ambassador to Kabul, John Bass, tweeted that reports of U.S. -Taliban talks on Wednesday were "inaccurate" and added: "Taliban should talk to fellow Afghans as much as they talk to media".
As of 31 July 2018, the Kabul government controls only 56% of the country while control of 32% is contested, according to the latest quarterly report of the office of the Afghanistan special inspector general for Afghanistan reconstruction, created by the US Congress.
Reuters learned from its Taliban sources that the United States refused the terrorist group's demand that American authorities liberate 25,000 prisoners in exchange for 3,000 hostages allegedly held by the jihadi organization.
The talks, which would have been the fourth round with U.S. special envoy Zalmay Khalilzad, would have involved a USA withdrawal, prisoner exchange and the lifting of a ban on movement of Taliban leaders, a Taliban leader had told agencies.
Iran says they are holding parallel talks with the Taliban.
When asked if a meeting this week between United States officials and the Taliban in Saudi Arabia would take place, Daudzai said: "Unless they [Taliban] agree to meet with the Afghan government face to face, that kind of meetings may be hard to be continued".
"We would never announce any ceasefire until and unless we achieve major gains on the ground". "We haven't seen any change in the Taliban so far and that country that supports them, has not unfortunately changed its policies toward us either", said Abdullah, referring to Pakistan which Kabul accuses of harbouring Taliban leaders. "If President Trump had made such announcement in 2012, it might have caused some worries but now we have well-trained Afghan National Security Forces".
Zalmay Khalilzad was appointed United States special envoy to Afghanistan in September 2018, but the Taliban say they do not think he has enough power.
Another Taliban source told Reuters the disagreement focused on Washington's insistence that Afghan government officials must be involved in the talks.
The US embassy in Afghanistan did not immediately respond to a request for comment, said the Reuters news agency. It adds that the United States may continue providing civilian assistance.
When asked if Pakistan was playing its role to push the Taliban to establish contact with the Kabul government, Umar Daudzai, who holds additional charge as President Ashraf Ghani's special adviser on reconciliation affairs, told Arab News in an exclusive interview: "They [Pakistan] say that and there are signs that they are doing it".
"The United States supports the desire of the Afghan people and the global community for a political settlement that ends the 40-year conflict and ensures Afghanistan never again serves as a platform for worldwide terrorism".
According to the Afghan envoy, no final talks have taken place between the United States and Taliban thus far, which is why they are refusing to hold a meeting with the Afghan government. It has maintained that any peace process and negotiation on Afghanistan has to be an Afghan-led process.
The US is seeking a lasting peace to the country's longest war, which as cost almost 1 trillion dollars and thousands of lives.
Saudi Arabia, Pakistan and the UAE took part in the last round of talks in December. It has cost Washington almost $1 trillion and killed tens of thousands of people.
The United States sent troops to Afghanistan in the wake of the September 11, 2001, attacks on NY and Washington.
The US still keeps around 14,000 troops there as part of a NATO-led mission aiding Afghan security forces and hunting militants.