Clean mussels by rinsing under cold water and brushing them with a stiff kitchen brush. Pull out the beard by giving the fuzzy hairs sticking out of the sides of the mussel a yank. Remove any mussels that have cracked or opened shells.
Heat olive oil in a large pot over med-high heat. Add garlic, onion, and basil. Cook for 1 minute. mix in tomatoes, wine, black pepper, then heat for another 2 minutes. Add mussels, bring to a boil, and cover. Cook for about 4 minutes or until mussels open. Serve immediately in bowls.
Tip: Serve mussels with pasta or rice, or make garlic bread!