Preheat oven to 400°.
Prepare corned beef according to package directions. Remove from skillet and wipe skillet.
Add softened cream cheese, mayonnaise, Greek yogurt, relish and ground mustard, stir together.
Add prepared corned beef and cheeses.
Prepare bread bowl by cutting off top of bread, scoop out bread, reserving inside chunks for dipping.
Place bread bowl on baking sheet.
Spoon prepared corned beef mixture into hollowed bread bowl.
Sprinkle with fresh ground black pepper and bake 15 to 20 minutes or until corned beef mixture is hot and bubbling.
Remove from oven, then move bowl to platter.
Garnish with chopped fresh parsley and surround with reserved bread chunks for dipping.