1Place beef in the slow cooker crock. Pour beef stock, vinegar, and Worcestershire over beef. Cook on Low until beef is cooked to medium, 3-4 hours. Remove cooked beef from broth and set aside. Reserve broth.
2Preheat an oven to 350 degrees F (175 degrees C).
3Heat oil in a large skillet over medium-high heat. Cook mushrooms in oil until they begin to soften; add onion and green pepper. Cook and stir until vegetables are soft, about 5 minutes.
4Slice beef thinly. Divide beef and vegetables evenly among the rolls. Top each sandwich with 2 slices cheese; wrap in foil.
5Place sandwiches in preheated oven and heat until cheese is melted; about 10 minutes. Serve hot sandwiches with reserved beef broth, if desired.
Footnotes
Cook's Note
I like to serve these with my Best Baked French Fries recipe on this site. See my recipe box.
Easy Cleanup
Try using a liner in your slow cooker for easier cleanup.