Season the venison and toss in the flour. Heat 1 tablespoon of the butter with the oil in a large, deep saucepan or flameproof casserole (one with a lid) over a high heat. Add the meat, in batches, and brown well all over. Set aside on a plate.
Add the onions and peppers to the pan and fry briskly for 5 minutes. It's OK if they catch a little. Next, add the wine, tomato puree and bay leaf. Allow the liquid to come to the boil, then return the meat to the pan with the stock. Cover and simmer gently for at least 2-21/2 hours, until the meat is very tender. Check from time to time to make sure it isn't catching on the bottom of the pan or drying out. You can always add more stock if you need to. Season to taste.
Fold in the remaining tablespoon of butter and 2 tablespoons of the syrup from the quince compote (or the quince conserve, if using). Serve garnished with the compote fruit slices or fold the fruit into the casserole, if you prefer.
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