People from Afghanistan walk with their belongings as they cross into Pakistan at the 'Friendship Gate' crossing point in Chaman. Reuters
As the crossing opened on Monday, three people were wounded in another clash reported on a northwestern border with Afghanistan, an Afghan official said.
Abdul Hameed Zehri, Deputy Commissioner of the Pakistan town of Chaman, which borders the Afghan district of Spin Boldak, said the southwestern crossing was reopened after dialogue between Pakistani and Afghan Taliban officials on Sunday.
Thousands of people and hundreds of trucks that had been stranded on both sides were able to cross the border on Monday, Zehri said.
The separate hostilities that started on Monday were in the northwestern Pakistan district of Kurram, said Munib Zadran, a police spokesman for bordering Paktia province.
A Pakistani security official said the fresh exchange of fire killed one member of border personnel and wounded nine other people.
Afghan Taliban spokesman Zabihullah Mujahid confirmed the latest clash.
"We are going to meet senior Pakistani officials to find an amicable solution," he said.
The Pakistan military did not respond to a request for comment, but a Pakistan security official said there has been regular border management coordination with Afghan authorities, adding that details of Afghan investigations into last week's hostilities will be shared with Pakistan in due course.
Disputes linked to the miles long border have been a bone of contention between the neighbouring countries for decades.
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