Peel the scampi, leaving the last part of the tail intact and remove the intestinal tract.
Heat oil in a large pan and briefly fry the scampi on both sides. Do this in two batches if the pan is not large enough. Set aside.
Sauté the finely chopped shallot and garlic in extra oil, add paprika powder, tomato paste, and Nduja. Let it cook for a moment, deglaze with white wine, let it reduce, and add passata. Let it simmer until the desired thickness.
Add the scampi, warm briefly, do not let it cook too long to keep them juicy and crispy. Serve in deep plates or bowls.
Tear the Burrata into pieces and distribute over the plates. Sprinkle with coarsely chopped basil and drizzle with soft extra virgin olive oil.
Tips
Serve as a starter or as a main course with pasta and extra Parmesan cheese.