Set your oven to the broil function and arrange a rack about 6 inches or so from the heat source.
Score the sausage links in several places but do not cut all the way through.
Place the bell peppers, onions, and tomatoes in a mixing bowl. Add garlic, fresh thyme, oregano, paprika, a large pinch of kosher salt and black pepper. Drizzle some extra virgin olive oil (a generous drizzle of 3 to 4 tbsp or enough to coat the veggies well), and toss to make sure the vegetables are well-coated.
Arrange the vegetables in one layer on a large baking sheet. Add the sausage, nestling the sausage links between the spread veggies.
Slide the baking sheet under the broiler for 8 to 10 minutes (watching carefully) until the veggies have softened and the sausage is looking nicely charred.
