― This is by no means an authentic Cuban sandwich but just a simple idea for a Cuban sandwich inspired grilled cheese. This recipe does not use sliced or pulled pork but uses sliced turkey instead. Ham, turkey, Swiss cheese, and dill pickles are piled onto sour dough bread and lightly grilled on both sides in the pan. For the dressing you can use either mayonnaise or mustard or both. I like to pile massive amounts of ham, turkey and Swiss onto my sandwiches, but this actual recipe calls for less. [...].