Gather all your ingredients. Dice the red bell pepper, mince the red onion, and crush the garlic cloves.
In a large sauté pan, heat the olive oil over medium heat. Add the minced red onion and cook until translucent, about 2-3 minutes. Add the diced red bell pepper and crushed garlic, and sauté until tender, about 5 more minutes.
Pour in the tomato sauce and add the pitted green olives. Simmer for about 5 minutes to meld the flavors.
Gently fold in the crabmeat, season with black pepper and salt, and add hot sauce if desired.
Let the mixture simmer for an additional 5-7 minutes. Stir in minced cilantro or parsley before serving.
Serve hot with lime wedges on the side.