Step 1

To prepare crust: Preheat oven to 400 degrees F. Brush the cut side of each squash half with oil and sprinkle with 1/4 teaspoon salt and 1/4 teaspoon pepper. Place the squash halves, cut-side down, on a rimmed baking sheet and bake until tender, 40 to 50 minutes. (Alternatively, place the squash halves, cut-side down, in a microwave-safe dish; add 2 tablespoons water. Microwave, uncovered, on High until the flesh is tender, about 10 minutes.) When cool enough to handle, scrape the flesh from each squash half. (You should have about 4 cups squash.)

Step 2

Wrap the squash in a tea towel or cheesecloth and squeeze to remove as much liquid as possible. Coat a 9-inch deep-dish pie pan with cooking spray. Stir the squash, 1 egg and Parmesan together in a medium bowl. Transfer the mixture to the prepared pan and press it evenly into the bottom and up the sides of the pan. Bake until the crust is set and beginning to brown around the edges, about 25 minutes.

Step 3

To prepare filling and bake quiche: Evenly scatter tomatoes and feta over the crust. Whisk together eggs and sour cream until smooth. Whisk in milk, parsley, thyme, salt and pepper. Pour the egg mixture over the other filling ingredients. Reduce oven temperature to 350 degrees F. Bake the quiche until the filling is set in the center and beginning to brown slightly, 35 to 45 minutes. Let cool slightly before serving.