Place sausage pieces in a large, deep skillet and add wine. Bring to a boil.
Reduce heat and simmer uncovered, for 20 minutes, or until fully cooked, stirring occasionally.
Meanwhile, prepare the creamy mustard dipping sauce. Combine all ingredients in a small bowl and season with salt and pepper, to taste. Cover and refrigerate, until ready to serve.
Once the sausages are cooked, remove them with a slotted spoon and place on a baking sheet.
Broil (on HIGH) for 6-8 minutes, until the sausages are browned, tossing halfway through.
Serve with toothpicks and creamy mustard dipping sauce.