Prepare the sauce by combining all ingredients in a food processor and processing until smooth. Taste test and adjust seasonings as necessary. Add a little more oil if too thick and set sauce aside.
Place the zoodles in a large pot with oil and stir fry at medium-high for 5 min.
Add cherry tomatoes, pine nuts, basil, salt and pepper. Add the avocado-basil sauce to taste, ¼ at a time