Clean, quarter and wash the peppers. Place the peppers on a baking tray with the skin side facing upwards and roast in a preheated oven (electric cooker 225 °C/ convection oven: 200 °C/ gas: level 4) until the skin is brown.
Remove the peppers and put them in cold water. Peel skin. Peel garlic clove. Puree paprika, parmesan and garlic, stir in oil. Cut olives into slices. Wash the basil and, except for something to garnish, pluck the leaves from the stalks and cut them finely.
Clean, wash, quarter and seed the tomato. Finely dice the flesh. Stir the diced tomatoes, olive slices and basil into the pesto. Season to taste with salt and pepper. Cook the pasta in salted water according to package instructions, drain and drain.
Arrange pasta and paprika pesto on plates. Garnish with parmesan and basil.