Add slices of bacon into a large non preheated skillet. Turn heat to medium. Cook until nicely browned and crisp, stirring often. Remove bacon with a slotted spoon to a paper towel lined plate, set aside.
Bring a large pot of water to a boil. Salt the water, generously. Add tortellini and gently boil 7-9 minutes.
While tortellini is cooking: Discard all except 1 tsp of bacon grease from skillet. Return skillet back to medium heat, add sun dried tomatoes.
When tortellini is done, transfer tortellini to skillet, using a slotted spoon. Stir. If mixture seems dry a little bit of pasta cooking water.
Stir in arugula. Continue to cook over medium heat until arugula is wilted. Add bacon back to pan, stir and serve.