01 - Whisk together eggs, heavy cream, salt, and black 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 thinly, swirling to form a crepe. Cook 1-2 minutes until set, 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 dressing across the center of each wrap.
04 - Layer chopped corned beef, sauerkraut, and shredded Swiss cheese evenly across the center of each wrap.
05 - Roll each wrap tightly around the filling. Optionally return to skillet for 1-2 minutes to melt cheese and heat through. Slice in half, garnish with parsley if desired, and serve warm.