Edelweiss flowers are built for harsh environments and do not require much attention to survive a cold winter. They enjoy having a thick blanket of snow to protect them. Simply refrain from watering these plants and let the snow do the rest. If you don’t expect a lot of snow during the winter months, add a layer of mulch around the plant in the late fall to mimic the insulating protection of snow. When spring arrives, move aside the mulch to allow new growth to appear.