Chop 1/2 cup cilantro leaves and 1/4 cup parsley leaves, place in a large bowl. Mince 2 garlic cloves; add to herbs in bowl. Add ground sirloin and next 3 ingredients along with 1/4 tsp. salt; stir gently to combine. Shape mixture into 18 balls.
Heat 1 tbsp. canola oil in a large nonstick skillet over medium high heat. Add half of meatballs, and cook 6 minutes, turning often to brown all sides. Transfer meatballs to a 6-quart slow cooker. Repeat with 1 tbsp. canola oil and remaining meatballs.
Process vinegar, next 4 ingredients and remaining cilantro leaves, parsley leaves, garlic, salt and canola oil in a food processor until finely chopped and well combined. Stir together 1/2 cup herb mixture and 1/4 cup water; pour over meatballs in slow cooker. Reserve remaining herb mixture. Cover and cook on LOW 2 hours.
Remove meatballs from slow cooker with a slotted spoon; discard mixture in slow cooker. Toss meatballs with 1/4 cup reserved herb mixture.
Preheat broiler with oven rack 6 inches from heat. Brush cut sides of rolls with extra virgin olive oil; place them on a baking sheet. Broil 2 minutes or until golden brown.
Toss together shredded cabbage and 1/2 cup reserved herb mixture. Divide cabbage mixture among rolls; top each roll with 3 meatballs and desired amount of cheese. Serve with lime wedges and any remaining herb mixture.