Pluck the trout fillets, remove any bones that may be present. Peel and chop the shallots. Blend trout and shallots in a hand mixer, add crème fraîche and gradually enough whipping cream to make a smooth cream. Season with salt and white pepper from the mill. Refrigerate until ready to serve.
Rinse the lamb’s lettuce well and dry.
Mix the salt, pepper, vinegar and a very small pinch of sugar with the finely chopped shallot, let it stand for a short time, then add the oil. Briefly toss the lettuce through this dressing, arrange 2 bunches on each serving plate. Cut the cocktail tomatoes in half, add them and drizzle with a little of the salad dressing.
Toast the toasts and cut them in half to make 2 triangles each.
Spread the smoked trout cream on the toast triangles and arrange next to the lettuce.