Finely dice the tomatoes. Drain mozzarella and grate coarsely. Dab meat dry. Place slices next to each other and season with salt and pepper. Spread each slice with 1 tablespoon of pesto.
Spread tomatoes and mozzarella on top, roll up. Pin with wooden sticks. Heat 3 tablespoons of oil in a pan. Brown the rolls in it all around and fry them at medium heat for about 10 minutes, turning from time to time.
Cook the pasta in boiling salted water according to the instructions on the packet. Peel onion and garlic and dice finely. Heat 1 tablespoon of oil in a saucepan. Fry the onion and garlic in it. Add tomatoes and stock, bring to the boil.
Stir in the herbs and simmer for about 5 minutes. Season sauce with salt and pepper. Arrange Involtini with noodles and sauce on plates. Garnish with basil.