Peel eggs and slice in half lengthwise. Place egg whites on serving tray and add egg yolks to mixing bowl.
Add mustard, olive oils, lemon juice, salt and pepper to egg yolks. Mash with fork until creamy. If needed, add water to thin, one teaspoon at a time. Taste and adjust seasonings.
Fill egg whites with yolk mixture and top generously with desired toppings.