Cook pasta al dente. Wash broccoli, do not divide into florets and steam until al dente. Dice the ham. Mix the cream and creme fraiche in a bowl until smooth. Add the ham and 2/3 of the cheese. Season with salt, pepper, basil, oregano and garlic and stir everything well.
Put the pasta and broccoli in a greased casserole dish and pour the cream mixture over it. Mix well again and sprinkle with the rest of the cheese. Baked in the oven at 180 ° C for about 30-40 minutes.