Some reports suggested that Mullah Fazlullah, the erstwhile leader of the Taliban in Swat, was among the dead but this was denied by the militants.
Dozens of Afghan Taliban fighters armed with heavy weapons attacked the Pakistani Taliban in Ghaziabad area of Afghanistan's Kunar province on Tuesday morning, BBC Urdu reported.
At least three Pakistani Taliban commanders from Swat were killed and several others injured in the clash, the report said.
Fazlullah, also known as Mullah Radio for his fiery sermons broadcast on an illegal FM channel, had fled to Kunar province when the Pakistan Army launched an operation against his group in Swat in 2009.
More From This Section
Over the past few years, Fazlullah's fighters have launched several attacks within Pakistan. His group had claimed responsibility for last year's bid to assassinate teenage rights activist Malala Yousafzai.
Recently, the Taliban released a video that showed Fazlullah claiming responsibility for the bomb attack that killed Maj Gen Sanaullah Niazi in Upper Dir region.