Bring large pot of water to a boil for the pasta.
Place almonds, mint, parsley, lemon juice and garlic in a food processor, turn on and stream in EVOO to form a pesto; season with salt and pepper to taste. Transfer to large, shallow serving bowl and stir in cheese.
Salt boiling water and cook pasta to al dente.
Heat a large skillet over medium-high heat. Add olive oil, 2 turns of the pan, then zucchini and toss to brown, 5-6 minutes. Add shallots, chili and garlic, and toss to combine. Season with salt and pepper.
Add 1 cup of starchy, salty cooking water to the pesto then drain pasta and add it to sauce. Toss to coat pasta evenly with pesto then add in zucchini, toss to combine and serve.