Hamdullah Fitrat, the deputy spokesman for the Afghan government, said those killed in the strikes that targeted four locations in Barmal, a district in the province of Paktika, were refugees, adding that six others were also wounded.
This comes a day after Pakistani security officials, speaking on the condition of anonymity in line with regulations, told The Associated Press that Tuesday's operation was to dismantle a training facility and kill insurgents in Paktika in Afghanistan.
Earlier on Wednesday, Mohammad Khurasani, the spokesman for the Pakistani Taliban or Tehreek-e-Taliban Pakistan, claimed in a statement that 50 people, including 27 women and children, have died in the strikes.
He said they were "unarmed refugees" who fled to Afghanistan because of Pakistan's offensive in the northwest.
The TTP — a separate group but also a close ally of the Afghan Taliban — also shared photos, alleging there were children killed during the Pakistani operation.
The Taliban Defence Ministry has denounced the air strikes and promised retaliation. (EPA PHOTO)
Meanwhile, residents in the area told an AP reporter over the phone that at least 13 people were left dead, adding that the death toll could be higher.
They also said the wounded were transported to a local hospital.
Pakistan has not commented on the strikes.
However, on Wednesday, the Pakistani military said security forces killed 13 insurgents in an intelligence-based operation in South Waziristan, a district located along eastern Afghanistan's Paktika province.
Pakistan's Interior Minister Mohsin Naqvi on Wednesday praised "Pakistan's brave security force" in a statement for thwarting "the nefarious designs" of "terrorists."
He didn't mention the Pakistani air strikes inside Afghanistan.
The Taliban Defence Ministry denounced the attacks on Tuesday and promised retaliation.
On Wednesday, the situation along the shared border seemed to be business as usual.
However, security analysts say the TTP could launch retaliatory attacks in Pakistan.
Pakistan has seen innumerable militant attacks in the past two decades but there has been an uptick in recent months.
The latest was this weekend when at least 16 Pakistani soldiers were killed when the TTP attacked a checkpoint in the country's northwest.
Pakistani officials have accused the Taliban of not doing enough to combat militant activity across the border, a charge the Afghan Taliban government denies, saying it does not allow anyone to carry out attacks against any country.
North and South Waziristan are former strongholds of Pakistani Taliban, who have fled to Afghanistan.
Tensions were at an all-high in March when Pakistan said intelligence-based strikes took place in the border regions inside Afghanistan.
