In a large skillet on high heat, cook the ground beef breaking it into small pieces as it cooks. Once fully cooked, drain off any excess liquid. Return the pan to the stove and reduce the heat to medium. Add the onion, garlic, ginger and sesame oil to the ground beef. Cook just until the onion begin to turn translucent, about 3 to 5 minutes. Stir in the soy sauce, chili paste, and vinegar and bring to a simmer. Simmer for about 3 minutes.
Place 2 to 3 tablespoon of the ground beef into each cabbage cup and top with the green onion and cilantro. Serve hot.