Preheat griddle or grill to medium-high heat.
Place olives and pickled veggies in food processor and pulse chop into a relish. Divide the relish among 4 sandwich bottoms and top with a single slice of cheese, sliced artichokes and peppers then add another slice of provolone to each sandwich and press tops in place.
Place sandwiches on grill and press with heavy skillet weighted down with cans. Press a few minutes on each side, remove, split and serve.