This recipe is fairly involved but the steps can be broken up over a couple days. I made all the fillings on day 1, made the pasta and assembled the lasagna on day 2, and baked the lasagna on day 3.
Ingredients
FOR THE SQUASH & RADICCHIO
1 3# Winter Squash, seeded and quartered (I used Buttercup; Butternut or Kabocha would work, as well)
2 medium heads Radicchio, cut in ½ inch strips
Extra Virgin Olive Oil
¼ tsp. Red Pepper
¼ tsp. Cinnamon
⅛ tsp. Nutmeg, freshly grated
Salt & Coarsely Ground Black Pepper
Water
FOR THE BÉCHAMEL SAUCE
3 c. Milk, preferably whole
3 Tbsp. Butter
3 Tbsp. Flour
1 Bay Leaf
⅛ tsp. Nutmeg, freshly grated
Salt & Black Pepper
1 c. Grated Parmesan
FOR THE PASTA
2 c. All-Purpose Flour
2 Eggs
¼ c. Extra Virgin Olive Oil
2 Tbsp. Water
FOR ASSEMBLING THE LASAGNA
Butter, for preparing the baking dish(es)
½ # Fontina Cheese, grated (I think smoked mozzarella would be really good...)
Instructions
Preheat oven to 400°. Place quartered squash, skin-side down, on a baking sheet and rub lightly with 1 tsp. olive oil. Sprinkle with salt and pepper and roast until the flesh is tender, about 45 minutes. Allow to cool enough to handle, scoop out flesh and puree in a food processor until very smooth. Add 1-2 Tbsp. of water, if needed to achieve desired consistency and season with the red pepper, cinnamon, nutmeg, salt, and pepper. Set aside.
Meanwhile, on another baking sheet, toss radicchio with 1 Tbsp. olive oil, salt, and pepper and roast 10-12 minutes, until slightly caramelized. Allow to cool and set aside.
To make the béchamel, heat milk in medium saucepan with bay leaf, nutmeg, salt, and pepper until hot but not boiling. In another sauce pan, melt butter over medium-high heat. Add flour and whisk until smooth and slightly darkened, 2-3 minutes. Slowly pour in hot milk, whisking constantly. Continue whisking until mixture thickens, another 2-3 minutes. Remove from heat, remove bay leaf (you can strain the sauce at this point if it is a little lumpy), and stir in the Parmesan. Set aside.
To make the pasta, beat together the eggs, oil, and water. Sift the flour into a large bowl or on a clean countertop and make a well in the center. Add the wet ingredients to the well and swiftly incorporate, using a fork. When everything has come together to create a scrappy ball, knead with your hands for a couple minutes until the dough is smooth and elastic. Wrap tightly in plastic wrap and allow to rest for 30 minutes before rolling.
To finish preparing the pasta, divide the rested dough in 6 pieces. Roll each piece as thin as you can, either the last or second to last setting on your pasta roller. Working with one sheet at a time, cook in salted boiling water, 30 seconds- 1 minute until the pasta floats to the top. Use a pair of tongs to help untangle the pasta and allow it to cook evenly. After it has cooked, remove and immediately plunge in a large pan of iced water to stop cooking. Drain and place on dry kitchen towel until you are ready to assemble the lasagna.
To assemble the lasagna, generously butter a 9" by 13" baking pan or 2 smaller baking pans. Lay a base of slightly overlapping pasta sheets that extend over the sides of the pan. Spread a thin layer of béchamel over the pasta, sprinkle with roasted radicchio and cheese, and coat with a layer of squash puree. Cover with another layer of pasta and repeat. For the top layer, fold the overhanging edges in over the top, spread with béchamel and sprinkle with remaining cheese.
To bake the lasagna, preheat oven to 375°. Loosely cover lasagna with foil (do not let it touch the cheese!), poked with a few holes. Bake for 35-45 minutes (depending on whether you made 2 small or 1 large lasagna), until it is warm throughout. Remove the foil, and continue to bake for another 15 minutes until the cheese is golden and bubbly. Remove from oven and allow to rest 10-15 minutes (this will help it hold together when cutting).
Recipe by strawberryplum at http://www.strawberryplum.com/squash-radicchio-lasagna-with-fontina/