Melt butter in skillet. Season pork with salt and pepper. Sear pork until browned on both sides, about 3 minutes per side. Remove pork from heat and transfer to a plate. Pour off fat from skillet and leave only about 3 tbsps of oil. Over medium heat, add flour and pour in milk while whisking. Add thyme. Let simmer over low heat and put back meat pieces in. Let simmer for another 10 minutes over low heat.

To serve, arrange on a platter. Sprinkle with grated Parmesan cheese and drizzle with extra virgin olive oil.

Serves 2.