01 - Whisk together eggs, heavy cream, salt, and pepper in a medium bowl until fully combined.
02 - Heat 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 1-2 minutes until set, carefully flip and cook 10-20 seconds more. Repeat with remaining mixture to make 4 wraps.
03 - Lay each egg wrap flat. Spread 1 tablespoon dressing across center. Layer with chopped corned beef, sauerkraut, and shredded Swiss cheese.
04 - Tightly roll each wrap around filling. Return to skillet for 1-2 minutes to melt cheese and heat through. Slice in half, sprinkle with parsley if desired, and serve warm.