Mix chicken strips with cornstarch and rice wine.
Heat 1 tablespoon oil in a wok or large skillet. Add red bell pepper and stir-fry until it just loses its rawness, about 1 minute. Remove to a bowl.
Heat remaining tablespoon of oil in wok. Add garlic and chilies and stir-fry until fragrant, about one minute.
Add chicken and stir-fry until no longer pink.
Add fish sauce, sweet soy sauce, and sugar. Toss well with chicken.
Add basil leaves, stir-fried red bell pepper, and stock. Bring to a boil and give it a quick stir.