To make the Russian Dressing:
Finely mince the shallot with the kosher salt either by hand or in a small food processor.
Combine the minced shallots and salt with the mayonnaise, chili sauce, horseradish, Worcestershire sauce, Tabasco, and paprika. Stir to blend together.
To make the sliders:
Preheat oven to 350-degrees. In a small bowl combine the minced onions, mustard and caraway seeds with the melted butter.
If the rolls are not split, slice through the middle creating a top and a bottom.
Spread Russian dressing on the inside of the top and bottom of each roll.
Place the bottoms of the rolls in a baking dish, about 8” x 11”. (You want a snug fit.) Layer slices of the corned beef on the rolls, scatter sauerkraut over the corned beef then top with slices of the cheese.
Place the tops of the rolls on the sliders and spread the butter mixture over the each. Cover with foil and bake for 30 minutes, or until heated through and the cheese is melting.