Oil an ovenproof dish, place the fish portions in it, and layer the shelled shrimps in the spaces between. Drizzle with lemon juice and season with salt and pepper. Scatter the lemon zest and whole basil leaves on top.
Sprinkle roughly 0.5 teaspoon chilli over the top, adjusting to your taste for desired heat. Spread the dried tomato strips over the top.
Pour roughly 75 ml vermouth over, drizzle 100 ml cream over, and sprinkle a thin layer of grated Emmentaler cheese on top.