Place eggs in a saucepan and cover with cold water.

Bring the water to a boil, then reduce heat and simmer for 12-15 minutes.

Remove eggs from the heat and cool them under cold running water or in an ice bath.

Peel the cooled eggs.

Cut the eggs in half lengthwise.

Carefully scoop out the yolks and place them in a small bowl.

Mash the egg yolks with a fork until smooth.

Add mayonnaise, Italian dressing mix, mustard, Parmesan cheese, and pepper to the mashed yolks.

Blend all ingredients together until well combined and creamy.

Scoop or pipe the yolk mixture back into the egg halves.

Garnish with sliced black olives and paprika, if desired.

Refrigerate the deviled eggs for at least 30 minutes before serving to allow the flavors to meld.