Preheat a grill to medium-high heat.
Pile the potatoes and onions evenly on 6 squares of foil. Add 2 tablespoons butter to each and splash on some cream. Sprinkle on some paprika, salt and black pepper, then finish with a sprinkle of minced parsley on top. Fold the foil pieces to wrap into bundles.
Place the potato bundles on the hottest spot on the grill for 30 minutes. Serve the bundles right on the dinner plates.