In a bowl, combine, pimentos, giardiniera, pepperoncini, olives, olive oil, vinegar, oregano, and salt, stirring to combine. Set aside.
Grill sausage links 5-7 minutes, or until cooked through.
Preheat broiler.
Place cheese slices in each bun and top each with sausage link. Place hot dogs on a baking sheet and broil for 1-2 minutes or until cheese has melted. Remove from oven and top with olive salad; serve.