Six police officers and the priest are believed to have died in the attacks, with the attackers slit the throat of a respected priest.
According to local media, the attacks are thought to be terror related and took place at a synagogue and an Orthodox church in Derbent, followed by an attack at a police post in Makhachkala.
Two attackers have been shot dead, Russia's interior ministry has reported.
Authorities have now said that at least 12 people were injured during the series of attacks.
Local news agencies said gunfire had been exchanged in the centre of Makhachkala, a region of coastline on the Caspian Sea.
According to local media, the attacks are thought to be terror related and took place at a synagogue and an Orthodox church in Derbent, followed by an attack at a police post in Makhachkala.
Two attackers have been shot dead, Russia's interior ministry has reported.
Authorities have now said that at least 12 people were injured during the series of attacks.
Local news agencies said gunfire had been exchanged in the centre of Makhachkala, a region of coastline on the Caspian Sea.