Place the oxtail pieces and brisket chunks in a large cast iron caserole pot. Cover it with water and add the onion, green pepper, garlic and salt. Bring it to a boil, making sure to remove any impurities.
Once start boiling, turn the heat down, put the lid on and let simmer for around an hour and 30 minutes. Making sure it does not run out of liquid.
When the meat is cooked and tender, add the cooked beans and precooked hominy. Cook everything together until hot and the hominy is tender.
Serve in a bowl and garnish with fresh coriander, onion and chilli. Then squeeze some lime and you are ready to go! Enjoy.