Get a medium campfire going, or get your charcoal on the go.. (If you’re making this on a stove, use medium-high heat and a nonstick pan.)
Add the ground beef and olive oil to a large cast iron skillet - or a dutch oven, and set over the fire or hot coals.
Cook - breaking up the meat as it cooks - just until it’s cooked though. Add the chopped bell pepper and onion, continue cooking until the vegetables are tender, another 2-3 minutes.
Add the remaining ingredients to the pan, stir well to combine.
Allow to simmer for about 15 minutes, or until thickened to the texture you like. (I'll usually turn the stove down to medium low or medium heat, when cooking this at home.)
Season with salt and pepper, to taste.
Split your Ciabatta rolls, toast them to golden brown over your grill or campfire. Spread with the garlic butter, and arrange on your serving plates.
Divide sloppy Giuseppe mixture between your buns, top with slices of the mozzarella or provolone cheese, and serve hot!