Heat 1 teaspoon of oil in a large skillet over medium heat. Add the kielbasa and saute until browned.
Add in the onion and peppers and saute for 5 minutes.
Stir in the remaining oil along with the mushrooms and garlic. Sprinkle with pepper and saute for 5 minutes.
Add the wine and use it to scrape off any bits from the bottom of the pan.
Serve over top of mashed potatoes.