1) Heat griddle to medium.
2) In a food processor pulse the salad and olives into a fine relish.
3) Spread 4 slices of bread with relish and top each with 2 slices cheese and 4 more slices of bread.
4) Butter the outside of the sandwiches with softened butter and griddle until golden on both sides, 4 to 5 minutes total.
5)Cut and serve.