Mullah Fazlullah in an undated photo.
The Taliban are fighting USA -led North Atlantic Treaty Organisation forces, combined under the Resolute Support mission, and Ghani's US -backed government to restore sharia, or Islamic law, after their ouster by USA -led forces in 2001. "Afghanistan's unilateral ceasefire with the Afghan Taliban", O'Donnell said.
Hours before the terror group announced the temporary ceasefire officials claimed it had launched two separate attacks on security forces in Afghanistan that killed at least 36 soldiers and police in total.
U.S. Secretary of State Mike Pompeo, echoing Ghani's announcement on Saturday, said peace talks would have to include a discussion on the role of "international actors and forces".
Lt-Col Martin O'Donnell, the spokesman for the USA forces in Afghanistan, had also confirmed the "counterterrorism strike" in Marwari district near the border.
Fazlullah emerged as an Islamist leader in the Swat Valley, northwest of the Pakistani capital of Islamabad, more than a decade ago.
In his meetings with Afghan President Ashraf Ghani and U.S. General John Nicholson, who commands American forces and NATO's non-combatant Resolute Support mission, Bajwa discussed bilateral and counterterrorism cooperation.
Islamabad is considered key to persuading Afghan Taliban leaders, who Washington believes shelter in Pakistan, to open negotiations to end the 17-year-old war in Afghanistan.
Pak Taliban Chief Believed Dead In US Strike In Afghanistan
Pakistan Army officials called Fazlullah's apparent death a "positive development".
A retired Pakistani Brigadier, Mehmood Shah, welcomed the drone killing.
Since then, U.S. officials said, he directed numerous high-profile attacks against American and Pakistani targets.
In March the United States offered a $5-million reward for information on Fazlullah.
The Pakistani Taliban, whose Urdu name is Tehrik-e-Taliban Pakistan, or TTP, has also threatened attacks against the USA homeland.
A vehicle bomb killed 36 people at a gathering of Taliban and Afghan armed forces in the same province on Saturday. Pleading anonymity, he said after the news of Fazlullah's killing surfaced in the media, they and many other people in their network made all-out efforts to contact people close to their commander but they couldn't succeed.
Fazlullah was known as a hardliner who broadcast fiery sermons and hard-line ideology via an extremist radio station.
Fazlullah, regarded in Pakistan as a particularly ruthless militant, was widely reviled for ordering a bloody attack on a Pakistani army school in December 2014 in the northwestern city of Peshawar.
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