Combine all the ingredients in a food processor except the olive oil and whirl together for 1-2 minutes until everything is finely chopped. While the food processor is still running, stream in the olive oil until fully incorporated. Transfer the vinaigrette to a air tight container and set aside until ready to use.

In a large bowl, combine the cherry tomatoes and ½ of the vinaigrette and toss to combine. Save the remaining vinaigrette for future use. Taste and season with salt and pepper as needed. Let the mixture sit for 20 minutes and then serve at room temperature with burrata on top.