Preheat your oven to 180°C (350°F). Place the slider buns on a cutting board and slice them horizontally in half, keeping the top and bottom halves intact.
Spread a thin layer of Dijon mustard on the cut sides of the buns, adding a tangy flavor that complements the ham and cheese.
Layer slices of ham evenly over the bottom half of the buns, pressing down gently to distribute the meat.
Place slices of sharp cheddar cheese over the ham, covering the entire surface for that gooey melt.
Cover with the top halves of the buns, pressing down slightly to keep everything together.
Melt the butter in a small saucepan over low heat, then stir in the paprika for a smoky, flavorful touch.
Using a brush, generously coat the tops of the buns with the seasoned melted butter, ensuring even coverage for a glossy, crispy finish.
Arrange the assembled sliders in a baking dish, snugly fitting them without crowding.
Bake in the preheated oven for about 15–20 minutes, until the tops are golden brown and the cheese bubbles attractively around the edges.
Remove from the oven and let the sliders rest for 5 minutes to allow the cheese to set slightly, making slicing easier.
Slice between the buns if desired, then serve warm to enjoy the gooey, crispy texture and savory flavors.