Remove the Burrata cheese from the fridge while making the tomato mixture. In a medium bowl toss together the tomatoes, salt, oregano, fresh basil and olive oil. Let sit 5-10 minutes while grilling the bread.
When all the slices of bread have been grilled, then add the arugula to the tomato mixture and toss gently. Spread the grilled bread with some burrata cheese and top the tomato mixture. Drizzle with a little extra olive oil if desired.