Kvareli is a town in northeastern in Kakheti Province, Georgia. Located in the Alazani Valley, near the foothills of the Greater Caucasus Mounta…Kvareli is a town in northeastern in Kakheti Province, Georgia. Located in the Alazani Valley, near the foothills of the Greater Caucasus Mountains, it was the birthplace of Georgian author Ilia Chavchavadze, whose one-storied house is preserved as a local museum.