Pakistani and Afghan troops have been exchanging fire along their border in their conflict, which the United Nations estimates has displaced more than 100,000 people.
Fighting began last week with Pakistani air strikes inside Afghanistan that Islamabad said targeted militant strongholds.
Afghanistan described the attacks as a violation of sovereignty, and announced retaliatory operations. It also denied harbouring militants executing attacks on Pakistan from its soil.
The Taliban claims the militancy in Pakistan is an internal problem.
On Friday, Afghan officials said Taliban forces struck Pakistani military installations in more than two dozen locations along the 1,600-mile (2,600km) border, destroying 14 posts and shooting down a drone.
It said seven Afghan civilians and three Taliban fighters were killed in overnight fighting.
Meanwhile, Pakistani security sources said they carried out ground and air operations against military targets including Kandahar, the heartland of the Taliban, and destroyed several Afghan border posts.
Both sides have regularly said that they inflicted heavy damage on the other, and killed hundreds of opposition troops, without providing evidence.
“The situation in Afghanistan and Pakistan remains tense amid active conflict along the border,” the United Nations refugee agency said.
It added that some 115,000 people in Afghanistan, and 3,000 in Pakistan, were thought to have fled their homes.
Dozens gathered in Kabul on Friday to protest against the attacks on Afghan territory, chanting anti-Pakistan slogans, a witness said.
The Bakhter news agency said a large gathering in Laghman Province demonstrated against Pakistan’s recent attacks.
Several countries have offered to negotiate a truce, most recently Turkey, although the Iran war has diverted the attention of some nations which had stepped forward.
Pakistani government spokesperson Mosharraf Zaidi said no negotiations were taking place to end the conflict.
“There is nothing to talk about. There will be no dialogue, and no negotiations,” he told state-owned Pakistan TV.
“Terrorism from Afghanistan has to end – that is Afghanistan’s problem. Pakistan’s responsibility is to protect its citizens.”
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The UN mission in Afghanistan has said 56 civilians have been killed in the country, and 128 wounded, since fighting began.
The Taliban government has said that 110 civilians have been killed. Pakistan has rejected both sets of figures, saying it targets only militants and support infrastructure.
