Cook the pasta in boiling salted water for about 8 minutes. In the meantime, clean and wash the broccoli and cut it into small florets. Blanch in boiling salted water for about 5 minutes, drain. Wash the cutlets, dab dry and cut into cubes. Peel and chop onion.
Heat 1 tablespoon of oil. Fry the meat cubes and onion in it for about 3 minutes at high heat. Deglaze with cream and stock, add meat again. Bring everything to the boil. Sprinkle in sauce thickener. Fold in broccoli, season with salt and pepper. Wash parsley, chop coarsely. Chop walnuts coarsely as well. Puree both with remaining oil.
Fold in broccoli, season with salt and pepper. Wash parsley, chop coarsely. Chop walnuts coarsely as well. Puree both with remaining oil. Season to taste with salt and pepper. Serve pasta, shredded meat and pesto sprinkled with grated cheese