Chechnya's Kremlin-backed leader Ramzan Kadyrov said seven members of an armed group had been killed, including its leader.
Seventeen Russia police and at least seven insurgents were killed in four days of fighting on the border between the Chechnya and Dagestan, Russia police said on Saturday.
Another 24 police and security troops were wounded in the fighting, state-run news agency RIA cited Interior Minister Rashid Nurgaliyev as telling President Dmitry Medvedev.
He said the government forces had been ambushed, but it was unclear when that happened. Other reports suggested the police were killed at various times during the fighting.
Chechnya's Kremlin-backed leader Ramzan Kadyrov said on Friday seven members of an armed group had been killed, including its leader.
In two wars, Russian forces attacked Chechnya, first in 1994-1996 and again beginning in 1999.
Muslim insurgents, seeking to create an independent state in Russia-held mostly Muslim North Caucasus, are battling Russian forces decade after Moscow seized the power of Muslim region of Chechnya.