Heat the oil in a large skillet over medium heat. Cook the sausage, breaking up with a wooden spoon, until browned, about 5 minutes. With a slotted spoon, transfer the meat to a bowl.
Add the garlic, onion, green pepper, red pepper, paprika and chile flakes to the pan. Cook, stirring, until softened, about 5 minutes. Add the tomato paste and cook, stirring, until the paste begins to caramelize, 2 to 3 minutes. Pour in the wine and cook until nearly evaporated, about 1 minute. Add the tomatoes with their juices and simmer until very thick and the liquid is evaporated, 6 to 8 minutes.
Stir the cooked sausage into the peppers and onions along with the rice, basil and parsley. Cook briefly until heated through.
Divide the mixture among 4 shallow bowls. Scatter about 1/4 cup of the chopped giardiniera over the top of each and garnish each bowl with some grated provolone. Serve immediately.