Preheat oven to 425°F/220⁰C.
Dice onion, chop garlic and parsley; grate cheese. Crush tomatoes. Set aside.
Add 1 tbsp olive oil to roasting pan, along with beef, pork and chicken, flipping meats to coat in oil. Roast until nicely browned, 20-30 minutes. Remove from oven; set aside.
Heat remaining oil in large stock pot over medium-high heat until shimmering. Add onions, cooking until translucent, about 5 minutes. Add in garlic, stirring until fragrant, about one minute.
Add tomatoes, one cup of the wine, water and tomato paste. Give a stir, then add in all meats to sauce.
De-glaze roasting pan with remaining red wine, scraping any browned bits. Add mixture to sauce, along with cheese,parsley, salt and red pepper flakes, mixing to combine.
Once simmering, reduce heat to low. Simmer, uncovered, for approximately 4 hours, or until sauce has reduced and thickened, and meats are falling-off-the-bone tender.
Discard bones. Remove meats to a separate serving dish. Adjust seasonings to taste.