Preheat your oven to 350°F (175°C).
Carefully slice the package of Hawaiian dinner rolls in half horizontally without separating them completely. Place the bottom half in a greased baking dish.
Layer half of the Gruyère cheese over the bottom half of the rolls, followed by layers of smoked chicken ham and smoked roasted turkey, then top with the remaining Gruyère cheese.
In a small bowl, combine melted butter, beaten egg, Worcestershire sauce, dijon mustard, and mayonnaise until well-mixed. Brush this mixture over the assembled sliders.
Place the top half of the rolls back on top of your layered ingredients. Brush generously with the topping sauce and bake for about 25 minutes until golden brown and melty.
Once baked, let cool slightly before slicing into individual sliders. Dust with powdered sugar if desired and serve alongside raspberry preserves for dipping.