During the second meeting after the firing incident at the border, the Afghan authorities were of the view that Killi Luqman and Killi Jahangir fell under their jurisdiction.
Mirza further asked the Afghan DGMO that their forces should stay on their side of the border and defuse the situation.
Durani also claimed Pakistani "militias" were trying to cross the border.
Pak-Afghan border remained on high alert as new batches of the Pakistan army and Frontier Corps were deployed due to the Afghans aggression.
"Anyone who tries to make Pakistan's territory disputed will face similar consequences", he said while speaking to reporters in the town of Chaman, adding that the border would remain closed until Afghanistan "changes behavior".
Pakistan claimed Sunday to have killed 50 Afghan border troops and destroyed five of their posts in sporadic clashes since Friday near a major border crossing.
Reiterating its charge that India and Afghanistan had formed a nexus against it, Pakistan has asked the U.S. to help break the alleged alliance "for the sake of regional peace", a media report here said on Monday.
Kabul quickly denied the statement. But the Frontier Corps secured the area Afghan soldiers had infiltrated on Friday.
Samim Khpalwak, a spokesman for the governor of Kandahar province, instead said two troops were lost in the attack, in addition to the death of a civilian.
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Skirmishes on Pakistan's border with Afghanistan have not been as frequent as on its eastern border with India but there have been occasional firefights, mostly due to a disputed border.
"We urge the Afghan government to take immediate steps to bring an end the unprovoked firing from the Afghan side". Both sides agreed that the rightful determination of border limits would be ensured by the geological experts of both countries with the help of maps and Google Earth.
Pakistani army spokesman Maj. After the survey is completed, a report will be sent to Islamabad and Kabul.
Attempts by Pakistan to harden the traditionally soft border with Afghanistan through trenching and fencing that began in 2016 have been met with hostility by Kabul.
Amid worsening ties with Afghanistan, Pakistan announced in March it had started building a fence along the volatile Afghan-Pakistani border. "Such attacks won't benefit Afghanistan in any way and its government should be ashamed of these imprudent actions", he said. This has caused several fatalities on both sides of the border.
Every day, thousands of Afghans and Pakistanis cross the Durand Line - the 2,430-kilometer (1,510 miles) boundary established by the British during their colonial rule.
Afghanistan disputes portions of its almost 2,600-kilometer border with Pakistan, which is known as the Durand Line.
Zakaria stressed the need for resolving issues through dialogue between the two countries.