01 - Heat butter in large skillet over medium heat. Sauté diced onion 2–3 minutes until translucent. Add shredded cabbage with pinch of salt; cook stirring occasionally 10–12 minutes until softened. Set aside to cool slightly.
02 - Combine bread cubes and milk in large bowl. Let soak 5–10 minutes until bread softens completely. Gently mash with fork until uniform paste forms.
03 - Add eggs, flour, nutmeg, pepper, salt, parsley, and cooled cabbage to soaked bread. Mix thoroughly until homogeneous slightly sticky dough develops.
04 - With damp hands, portion mixture into 8 equal rounds. Shape each into smooth ball, handling minimally to prevent compaction.
05 - Bring vegetable broth to gentle simmer in large pot—avoid rolling boil. Carefully lower dumplings into liquid. Simmer uncovered 18–20 minutes until firm and cooked through.
06 - Remove dumplings with slotted spoon, draining well. Transfer to serving plates. Garnish with additional fresh parsley if desired. Serve immediately while hot.