1. Whisk together first 4 ingredients (through black pepper) in a large serving bowl. Toss in the lobster and the next 4 ingredients (through basil). Stir to combine, and let stand 15 minutes.
2. Arrange the toasts on serving plates, and top evenly with lobster salad. Let stand 5 minutes for juices to soak into the bread. Garnish with additional basil leaves.