For the pesto, roast pine nuts without fat, remove. Peel garlic, chop roughly. Wash basil, shake dry and pluck off leaves. Grate parmesan. Squeeze lime. Puree all prepared ingredients and 5 tbsp. oil with a hand blender.
Season to taste with salt and pepper.
Cook the pasta in plenty of boiling salted water according to the instructions on the packet. Wash the meat and dab dry. Cut mozzarella into thin slices. Wash tomatoes, dice coarsely.
Heat 2 tablespoons of oil in a large pan with a lid. Fry the escalopes in it for about 2 minutes on each side. Season with salt and pepper. Spread mozzarella and tomatoes on top. Cover and fry over medium heat for about 5 minutes.
Drain the pasta (collecting some cooking water), let it drain and put it back into the pot. Mix with pesto, up to 2 teaspoons, and 4-5 tablespoons cooking water. Serve everything. Spread the rest of the pesto on the tomatoes.