Heat olive oil in a large skillet over medium high heat. Add sausages and brown evenly on all sides, turning every several minutes. When browned, remove from pan and drain.
Add onions and bell peppers to the pan, and saute until softened.
Add garlic, basil and oregano to the mixture and cook for several more minutes.
Add Bloody Mary mix to pan, and reduce heat to low. Stir to combine all ingredients and bring to a slow simmer.
Cut the sausages on the bias (angled) into 3/4" wide pieces and add to pan. Stir all ingredients together and simmer on low for 25 minutes, stirring occasionally.
Serve mixture on sandwich rolls
For a low carb version, place into bowls and garnish with a basil leaf.