
Heat broiler.
Place salmon on a rimmed baking sheet. Season generously with salt and pepper; rub with 1 teaspoon sesame oil. Broil, 4 inches from heat source, until fillets are opaque throughout, 10 to 12 Minutes. Set aside to cool.
Meanwhile, cook green beans in a medium pot of boiling salted water until crisp-tender, about 4 Minutes; drain, and let cool slightly.
In a large bowl, whisk together remaining 2 teaspoons sesame oil, lime juice, and basil; season generously with salt and pepper. Add green beans, cucumber, and radishes. With a fork, break salmon into large chunks. Add to salad; toss gently. Serve immediately.
4 servings