Combine the dressing ingredients in a jar and shake vigorously to combine and emulsify, set aside. 

In a bowl, combine the sliced peaches and tomatoes. Pour a little dressing over the fruit and lightly toss to coat. 

Transfer the dressed fruit to a serving platter.

Break the burrata balls apart, over the top of the dressed fruit.

Sprinkle with flaky finishing salt and more pepper.

Scatter the fresh basil leaves over the top.