Preheat oven to 400°F. Pour tomato puree, 1 tablespoon of olive oil and half of the chopped fresh herbs into a baking dish. Stir in the chopped shallot and garlic.
Season the mixture with salt and pepper.
Thinly and evenly slice the vegetables using either a mandolin or knife - whichever you're more comfortable with. The thinner the slices, the better the final product will be.
Stack about 20 slices in sequence in a pan. You can use any pan, but skillets work best, and cast-iron skillets really make a nice end product (see cover photo).
Arrange a few stacks at a time into the prepared baking dish in a concentric spiral from the outer edge to the inside, fanning them out a bit so that you can see the top 1/8” of all the slices. These will stack better and save more space if they aren't flat, but rather are tilted upward a bit over a small space (think of how napkins stand up in a napkin holder). Use the larger slices for the outside, and swirl around the pan. Use the smaller bits for the middle.
Drizzle with the remaining tablespoon of olive oil and season with more salt and pepper. Sprinkle the remaining chopped herbs. Cover the dish with a piece of parchment paper cut to it just inside the dish rim, directly on top of the vegetable arrangement.
Bake for 45 minutes, or until the vegetables are soft