Rinse the pork chops with water and dry them with absorbent paper. Season them with salt and pepper. Heat olive oil in a large pan, in medium to high heat. Add the butter. Once the butter has melted, add the pork to the pan and saute for about 2-3 minutes on each side. Reduce the heat slightly if the meat gets too much color too fast.
Remove the pork chops from the pan and spoon out most of the fat that has been poured out of them. Add the chopped onion to medium to high heat and cook until it is softened (about 1 minute). Add the half cup of wine and let it boil. Add the broth and put the meat in the pan, again. When the sauce starts boiling, lower the heat, cover the pan and leave it at 100 ° C until the steaks are cooked, about 10 to 15 minutes.
Remove the pork chops and cover them with aluminum foil to maintain their temperature. Add the remaining wine. Raise the heat to high and let the sauce simmer. When the sauce is lowered in half (about 3 minutes), add the cream and let it boil for another 3 minutes until the sauce thickens. Throughout this time, scrape the pan with a wooden spoon so that it does not stick. Remove the pan from the heat and add the mustard and the parsley.
Serve the steaks over a layer of sauce.