Meanwhile, throw diced tomatoes in a food processor or blender. Pulse until mostly smooth.
Transfer both cherry tomatoes and pureed diced tomatoes to the pan. Add in fresh basil, 1/2 TSP of salt and 1/4 TSP of pepper. Cover, and cook for about 10 minutes, or until sauce thickens and the cherry tomatoes are nice and tender. Stir a few times while it's cooking.
Add zoodles, pine nuts and lemon zest to the pan. Toss together to combine, and allow to cook for just about 2 minutes, or until zucchini is a bit more tender, but not cooked and shrunk in size. Add in more salt and pepper if desired.
Distribute the zoodle recipe into 2-3 dishes to serve. Sprinkle grated mozzarella onto each dish, and serve with crusty fresh bread for dipping.
Notes
*This recipe will make a lot of tomato sauce for the dish. If you don't like your sauce saucy (ha!), simply remove a few large spoonfuls before adding in the zoodles. Reserve for use at another time.*