1. Preheat the grill to medium high.
2. Cut the watermelon into small triangles about 4-inches by 3-inches and about ½-inch thick; you should have 12 nice pieces. Brush with olive oil and chill. Chill six medium-sized serving plates.
4. Preheat the oven to 375°F. Cut the figs in half and place cut side up on a sheet pan; sprinkle with kosher salt and brush with olive oil. Roast for 15 minutes, or until soft.