In a large, nonstick soup pot over high heat, warm the olive oil. Add chicken and brown on all sides. Add pearl onions, carrots, garlic and Canadian bacon; saute until onions are lightly browned. Stir in balsamic vinegar and white wine; bring to a boil and then simmer over medium-low heat until the liquid is reduced by about one third. Stir in beans, rosemary and chicken broth. Bring back to a simmer, reduce heat to low, cover and let cook for 20 minutes.
Ladle into large bowls and serve with rustic bread and salad.
