D. griseata is endemic to New Zealand. This species range is from the Bay of Plenty/Taupo to Southland. However it is likely locally extinct in some North Island localities. D. griseata has been recorded as being collected in Wellington, Top house at Lake Rotoiti, Mount Hutt, Castle Hill, Cave Creek in Paparoa National Park, Arthurs Pass, Waiho Gorge in Westland, Dunedin, Ben Lomond, Lake Wakatipu, Takitimu Mountains in Southland, Invercargill and Orepuki.