Chinese Foreign Minister Wang Yi held talks with the acting Deputy Prime Minister of Taliban's interim administration Mullah Abdul Ghani Baradar in the Qatari capital of Doha on Monday.
The wrangling has taken place behind the scenes, but rumors quickly began circulating about a recent violent confrontation between the two camps at the presidential palace.
Speculations were rife on social media - particularly in India, where rumours swirled that he had been mortally wounded in a shootout between rival Taliban factions at the presidential palace.
The Taliban on September 7, unveiled a hardline interim government led by Mullah Mohammad Hasan Akhund, with key roles being shared by high-profile members of the insurgent group.
In a video news briefing Tuesday, Martin Griffiths said a key humanitarian priority is getting safe and dependable access to the Kabul airport and road routes from neighbouring countries.
Mullah Hassan to head proposed Taliban government, Mullah Baradar to serve as his deputy: Media report
Mullah Hasan is presently head of the Taliban's powerful decision-making body - Rehbari Shura or leadership council - which serves much like a government Cabinet.
ISI Director General Lt Gen Hameed became the only high-ranking foreign official to visit Kabul since the Taliban seized the Afghan capital in mid-August.
The CIA declined to comment on the Taliban meeting but the discussions likely involved the impending August 31 deadline for the US military to conclude evacuation.
"He will be in Kabul to meet jihadi leaders and politicians for an inclusive government set-up," a senior Taliban official told AFP.
In a televised statement on the fall of Kabul, he said the Taliban's real test was only just beginning and that they had to serve the nation, The Guardian newspaper reported.
"The Islamic Emirate assured China that Afghanistan's soil would not be used against any country's security," spokesperson Mohammed Naeem said.