Bavly is a town in the Republic of Tatarstan, Russia, located on the Bavly River, 369 kilometers southeast of Kazan. Population: 22,109 ; 22,93…Bavly is a town in the Republic of Tatarstan, Russia, located on the Bavly River, 369 kilometers southeast of Kazan. Population: 22,109 ; 22,939 ; 20,025. It was founded in 1755, granted urban-type settlement status in 1950, and that of a town in 1998.