Iran press/ Asia: Ahmad Massoud, head of the National Resistance Front of Afghanistan (NRFA), made the announcement on the group's Facebook page. Earlier, Taliban forces said they had fought their way into the provincial capital of Panjshir after securing the surrounding districts.
Taliban took control of the rest of Afghanistan three weeks ago, taking power in Kabul on Aug. 15 after the Western-backed government collapsed and President Ashraf Ghani fled the country.
"The NRF in principle agree to solve the current problems and put an immediate end to the fighting and continue negotiations," Massoud said in the Facebook post.
"To reach a lasting peace, the NRF is ready to stop fighting on condition that Taliban also stop their attacks and military movements on Panjshir and Andarab," he said, referring to a district in the neighboring province of Baghlan.
A large gathering of all sides with the Ulema council of religious scholars could then be held, he said.
Earlier, Afghan media outlets reported that religious scholars had called on the Taliban to accept a negotiated settlement to end the fighting in Panjshir.
There was no immediate response from the Taliban.
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