Heat griddle to medium.
In a food processor pulse chop the salad and olives into a fine relish. Spread 4 slices of bread with relish and top each with 2 slices cheese and 4 more slices of bread. Butter the outside of the sammies with softened butter and grill until golden on both sides, 4 to 5 minutes total. Cut and serve.
Recipe courtesy of Rachael Ray, 2008