Not just Romans, many ancient civilisations used water and underground chambers for refrigeration. It's amazing how much we've forgotten with the ease of use of electricity.

Yakhchāl - Wikipedia
Ancient Origins Reconstructing the story of humanity
Ancient Advanced Technology: 2,400-Year-Old Yakhchals Kept Ice in the Desert | Ancient Origins
The yakhchal was a type of ancient ice house (refrigerator) built in the deserts of Persia - demonstrating the human ability to find solutions to p...