Peel and wash the potatoes and cut into very thin slices. Dab the potatoes well.
Heat the oil in a large pan and fry the potatoes until they are golden brown, turning them frequently. Season well with salt and pepper.
Cut the tomatoes into slices. Drain the mozzarella well and also cut into slices. Add the cream with the tomatoes and the cheese slices to the potatoes and cover everything for 10-15 minutes. Rinse and finely chop the basil. Sprinkle this over the potatoes.
TIP: If you like it spicier, you can use crumbled Roquefort or Gorgonzola instead of mozzarella.