1Prepare the fish: Whisk together olive oil, lemon juice, parsley, garlic, basil, black pepper, and salt in a bowl and pour into a resealable plastic bag. Add tilapia fillets, coat with the marinade, squeeze out excess air, and seal the bag. Marinate in the refrigerator for 1 hour.
2Meanwhile, make the salsa: Combine mango, bell pepper, jalapeño pepper, red onion, and cilantro in a bowl. Add lime and lemon juices and toss well. Season to taste with salt and pepper. Refrigerate until ready to serve.