01 - Whisk together eggs, heavy cream, salt, and pepper in a medium bowl until fully combined.
02 - Heat a nonstick skillet over medium heat with a small amount of butter. Pour enough egg mixture to coat the bottom, swirling to form a thin crepe. Cook for 1-2 minutes until set, then carefully flip and cook 10-20 seconds more. Remove and repeat to make 4 wraps total.
03 - Lay each egg wrap flat on a clean surface. Spread 1 tablespoon of dressing across the center of each wrap.
04 - Distribute chopped corned beef evenly among the wraps, followed by sauerkraut and shredded Swiss cheese.
05 - Roll each wrap tightly around the filling. Return to the skillet for 1-2 minutes to melt cheese and heat through if desired. Slice in half, garnish with parsley, and serve warm.