Place large cast-iron or other flame-safe skillet on grill of barbecue preheated to medium-high heat.
Add oil to skillet. Stir in anchovies, garlic and chili flakes; cook until fragrant, about 1 min. Mix in tomato sauce, wine, olives and capers; simmer 2 to 3 min. to thicken. Lay fish in sauce. Close lid of barbecue; cook 6 to 8 min., or until fish is just cooked through.
Plate fish in shallow bowls. Spoon over sauce. Sprinkle with basil to serve.
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