The overnight insider attack happened in the Qarabagh district where a group of seven security personnel Friday night turned their guns on fellow soldiers at a local Afghan army base.
Officials in Afghanistan said Saturday Taliban infiltrators have killed at least 25 government security forces in the eastern volatile Ghazni province.
Taliban spokesman Suhail Shaheen said Friday's meeting was "very good and friendly". The number of attackers was also not immediately clear.More news: Pakistan rejects India’s remarks on citizenship bill
Taliban have opened new battle fronts across the war-torn nation in recent years as Afghan security forces - suffering casualties and desertions - struggle to beat back a revitalized insurgency.
The White House is reportedly holding off on peace talks with the Taliban for the time being.
"I met Talibs today, I expressed outrage about attack on Bagram", Khalilzad wrote on Twitter, referring to the attack on Bagram air base on Wednesday which killed two people and injured more than 70 others.More news: Public Health advises Ontarians to get vaccinated as flu season hits
USA and North Atlantic Treaty Organisation troops have been the main target of insider attacks, but Afghan security forces have also been targeted.
Earlier this week, an Afghan policeman allegedly linked to the Taliban killed seven fellow officers at a post in the Shahr-e-Safa district in southern Zabul province. The perpetrator was wounded and arrested. In September, three US military personnel were wounded when an member of the Afghan Civil Order Police fired on a military convoy, also in Kandahar.
Zalmay Khalilzad, visiting Islamabad for the record ninth time in a year, separately met the powerful Army chief Gen. Qamar Javed Bajwa and Foreign Minister Shah Mehmood Qureshi just hours after Washington announced a pause in already fragile peace talks following a brazen Taliban attack on a US military base in Afghanistan earlier this week.More news: Messi the best of his time, not all time - Ronaldinho