Heat oil in a frying pan over medium heat. Add chile and garlic; cook and stir until garlic is golden, about 1 minute. Add eggplants to the fragrant garlic oil. Stir in water and cover. Cook, stirring every few minutes, until eggplants soften, 5 to 8 minutes.

Uncover and stir in soy sauce, sugar, and salt. Stir well and continue cooking until all the water has evaporated and eggplant is coated with sauce, about 5 minutes. Add basil leaves and stir once; remove from heat.