Soak rolls in water. Peel and finely dice onions. Peel garlic and chop finely. Heat the oil in a pot, fry half of the onions, thyme and garlic in it. Add tomato puree, stir in and deglaze with tomatoes and stock.
Season with salt, pepper, paprika and sugar, simmer for about 10 minutes at low heat. Halve the ham slices. Knead minced meat, squeezed out roll, egg, mustard, salt, paprika and pepper.
Form 8 longish meatballs (roulade type) from the minced meat mixture. Wrap 1/2 slice of ham around each. Put tomato sauce in 2 small or 1 large casserole dish. Place the minced meat rolls on top and bake in a preheated oven (electric range: 175 °C/ convection oven: 150 °C/ gas: level 2) for approx. 45 minutes.
Meanwhile clean and wash the broccoli and cut the florets from the stems. Put them into boiling salted water and cook for about 6-8 minutes. Pour into a sieve, drain well and add to the roulades in the casserole dish about 10 minutes before the end of the cooking time and cook until done.
Serve garnished with thyme.