Wash the potatoes thoroughly and boil them covered in water for about 15 minutes. Peel onions and slice or cut into rings. Drain, quench, peel and coarsely grate the potatoes.
Heat 2 tablespoons of oil in each of two large pans. Add half onion rings each and cover with half grated potatoes each. Season with salt, pepper and some caraway seeds. Fry over medium heat for about 10 minutes until a brown crust has formed at the bottom.
Divide the potato mixture into coarse pieces, turn carefully and continue to fry for about 10 minutes. Wash parsley, shake dry and chop. Cut cheese into 2-3 mm thin slices. After about 4 minutes spread on the potatoes and let them melt.
Sprinkle roigabrageldi with parsley. Drink tip: Silvaner.