Quoll Quolls are indigenous to mainland Australia, New Guinea, and Tasmania. The six species were once widely distributed across the three land masses, but are now restricted to only a few areas. Although primarily ground-dwelling, the genus has developed secondary arboreal characteristics. (They Climb Trees) Quolls are carnivorous marsupials. They are primarily nocturnal, sleeping in hollowed-out logs or rocky dens and coming out to hunt during the night, though on rare occasions they can be seen looking for prey during the day.