In a Dutch oven, bring 10 cups water to a boil. Add green beans; cook, uncovered, 6-8 minutes or until tender.
On the side, in a small skillet, heat both oils over medium heat. Add shallot, garlic, salt and pepper; cook and stir until tender, which usually takes about 2-3 minutes.
Drain green beans and return to Dutch oven. Add shallot mixture; toss to coat. Sprinkle with sesame seeds.