Trenette al Pesto is classic Italian comfort food at its best, and also know as the pasta served in the animated Pixar film Luca.
Make pesto: Blend basil, garlic, pine nuts, parmesan cheese, and salt in food processor Add olive oil through feed tube in a steady stream and process until creamy and emulsified.
Add potatoes to pot of boiling water; boil 3 minutes. Add pasta; cook until al dente. Add green beans 3 minutes before the pasta is done cooking.
Drain well, then transfer the mixture to a bowl, or back to the pot.
Add pesto to pasta and vegetables and toss to coat. Serve topped with grated Parmesan.