Afghan Ministry of interior (MoI) said on Monday that security forces have retaken control of parts of Anar Dara district in Farah province that fell to the Taliban on Monday morning. Some 40 militants were also killed, officials said.
Violence has been on the rise as Afghan security forces struggle against a surge in attacks by anti-government fighters since the drawdown of foreign forces over the past three years.
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The battle was the latest in a series of Taliban attacks in the province, which is situated on the border with Iran and is one of the poorest in Afghanistan.
Over the weekend, a Taliban attack killed seven army commandos and eight policemen in Bala Buluk district.
Khogyani said two other people in the vehicle were wounded in the attack in Bati Kot district.
The Taliban immediately claimed responsibility saying the district is now under their control.
The victims are all members of a single family, Khogyani added.
Both the Taliban and rival militants from a branch of the so-called Islamic State regularly attack local officials and security forces in Nangarhar Province.
No comment was immediately available from US military headquarters in Kabul.
The pressure on Farah has grown as USA air strikes and Afghan army operations have inflicted heavy casualties on Taliban fighters in neighbouring Helmand province, the country's main opium-growing region and a heartland of the insurgency.
Those among the killed were nine members of the Afghan Special Operations Forces, according to the report.
In January, the governor of Farah resigned, blaming political interference and corruption. "There are casualties to the police, but we lost contact with them and we have no idea about their condition, including the police chief of the district".