In a medium bowl, mix shallot, lemon juice, lemon zest, red wine vinegar, Dijon mustard and honey. Slowly stream in oil, whisking continuously until emulsified. Season to taste with salt and pepper.

Using a vegetable peeler, shave the zucchini into ribbons, starting from one side, then flipping over and repeating on the other side. When you get the core of the zucchini, you can chop and reserve for another use.

In a large bowl, toss zucchini, walnuts, Parmesan and basil with dressing. Serve immediately.