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Preheat the oven to 350 degrees F.
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Slice each dinner roll in half width wise.
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Arrange the bottom buns on a 9x13-inch baking dish or jelly roll pan. Lay out about 2 slices of turkey on each bottom bun. Follow up with a slice of Swiss cheese.
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Spread about a half a teaspoon of spicy mustard on the inside of each top bun. Cover the turkey and cheese half with the top bun.
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Add the butter to a small microwave safe bowl. Heat for a few seconds until the butter melts.
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Mix in the black pepper, horseradish, garlic, ground mustard, sesame seeds, and rosemary to the butter.
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Use a silicone brush to brush the butter mixture over each bun.
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Cover the slider dish loosely with tin foil and bake for 10 minutes. Remove the foil and bake the sliders for 10 more minutes.
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Serve sliders slightly cooled.