The denials follow days of rumours that supporters of Baradar had clashed with those of Sirajuddin Haqqani, head of the Haqqani network that is based near the border with Pakistan and was blamed for some of the worst suicide attacks of the war.
Pakistan's Foreign Minister Shah Mehmood, speaking at a virtual conference that brought together neighbours Pakistan, China, Tajikistan, Uzbekistan, Iran and Turkmenistan to discuss Afghan strategy, floated the idea of inviting the new rulers in Kabul to future gatherings.
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 running all the group's affairs subject to the approval of the top leader.
The leadership of the group that seized control of Kabul on August 15 has been cloaked in secrecy. Here is what we know about who is leading the Taliban today.
Inter-Services Intelligence (ISI) Director General Lt Gen Faiz Hameed dashed to Kabul on an unannounced visit last week, becoming the only high-ranking foreign official to visit Kabul since the Taliban seized the Afghan capital in mid-August.
"He will be in Kabul to meet jihadi leaders and politicians for an inclusive government set-up," a senior Taliban official told AFP.
The historic telephonic conversation took place a day after the Taliban ended the partial truce amidst renewed violence in the war-torn country, raising doubt over the intra-Afghan negotiations that are scheduled to begin on March 10.