The continued violence comes as the United States and the Taliban hold on-again, off-again talks aimed at ending America´s longest war.
Khalilzad, along with Paul Jones, U.S. ambassador in Pakistan, met Bajwa at army headquarters in the garrison city of Rawalpindi, and shared outcomes following the 8th round of U.S. -Taliban peace talks in Doha and his recent engagements in Kabul.
US President Donald Trump, during a surprise Thanksgiving visit to Afghanistan last month, said Washington had resumed talks with the Taliban and that the Afghan armed group wanted a ceasefire.
However, there was no mention of the ceasefire or intra-Afghan dialogue in the proposed deal.
The Taliban now control or hold sway over half the country.
Pakistan, Qureshi said, according to a Foreign Ministry statement, has always believed that there is no military solution to the Afghan conflict.
Peace negotiations began earlier this year but were suspended in September after an American soldier was killed in a suicide attack claimed by the Taliban.
The U.S. negotiating team is taking a "brief pause for them [the Taliban] to consult their leadership on this essential topic", he added.
The Afghan National Army troops "were martyred by Taliban terrorists in Qarabagh district of Ghazni province" on Friday night, the Afghan defence ministry said on Twitter.
The assault on Bagram base came despite the resumption of talks between the United States and the insurgent group days before in Qatar, as the parties look for a path to reduce violence or even reach a ceasefire, allowing a gradual withdrawal of USA and North Atlantic Treaty Organisation troops from Afghanistan.
About 13,000 USA forces, along with thousands of other North Atlantic Treaty Organisation troops, are stationed in Afghanistan, with U.S. officials considering reducing the troop strength as part of any future peace deal.