1. Heat oil in a large Dutch oven over medium-high heat. Add onion; sauté 15 minutes or until almost tender, stirring frequently. Reduce heat to medium-low; cook until deep golden (about 20 minutes), stirring occasionally. Add red pepper and garlic. Cook 3 minutes; stir occasionally. Add wine; cook 4 minutes or until liquid evaporates.
2. Cook pasta according to package directions, omitting salt and fat. Drain pasta in a colander over a bowl, reserving 1/4 cup cooking liquid. Add reserved cooking liquid, pasta, radicchio, parsley, and oregano to onion mixture. Sprinkle with salt and black pepper; toss to combine. Top with cheese.