At least 50 Taliban were killed in fighting near Kabul, while dozens more were killed over the weekend in clashes elsewhere.
Security forces are zeroing in terrorist groups such as al-Qaeda and ISIS as part of efforts to stave off potential security threats as the international coalition withdraws from Afghanistan.
Afghan forces have killed more than 1,000 Taliban fighters, commanders and key members in recent weeks during the group's attempts to take over territory across the country.
The ceasefire comes as shattered Kabul residents mourn daughters massacred in a bombing on Saturday.
There is a notable exodus of foreign fighters from Iran-affiliated militias in Syria fuelled by growing discontent and dwindling salaries.
Pakistan has taken many steps to confront potential threats after coalition forces leave Afghanistan, such as building a border fence and expelling militants from the tribal belt.
The Afghan national, known by the code name 'Basim', was reportedly responsible for the extremist group's 'so-called military wing'.
The United States fulfilled its commitment to the Taliban by announcing its decision to withdraw from Afghanistan, but evidence suggests the Taliban are not keeping their promises.
The US military is studying options to continue surveilling and potentially attacking violent extremists in Afghanistan from neighbouring countries.
The Taliban extort money from farmers during growing and harvest seasons each year under the pretext of zakat, and many impoverished Afghans have to borrow money to pay the militants.