Clean and wash the fennel, cut or slice lengthwise in approx. 1⁄2 cm thin slices. Wash thyme and shake dry. Clean, wash and spin dry the salad.
Heat the oil in a large frying pan and fry the fennel slices for about 2 minutes. Season with salt and pepper. Add thyme, fry briefly at low heat and deglaze with vinegar. Arrange the bresaola, salad and fennel and drizzle with some gravy. Slice Parmesan cheese over it.