Details were still somewhat fluid Sunday. However, it appeared 10 attackers and two police officers died in an early-morning gun battle in the village of Tsentoroi, Russia's RIA Novosti reported.
There were reports that five civilians were also killed.
President Ramzan Kadyrov told RIA Novosti that the raid was carried out by members of a warlord group led by Akhmed Avdorkhanov, who was a close associate of the late Chechen separatist leader Aslan Maskhadov.
Kadyrov was raised in Tsentoroi and was in charge of the operation Sunday, the reports said.
Meanwhile, police in nearby Dagestan said they killed four gunmen who allegedly opened fire on a traffic checkpoint in the Khasavyurt district.