Heat the oil in a medium saucepan over medium-high heat until hot but not smoking. Add the rice and cook, stirring often, until it becomes milky white, crackles and feels heavier as you stir it in the pan, about 3 minutes. Make room in the center of the pan, add the onion, garlic and chile, and cook for 2 to 3 minutes, stirring and mixing with the rice, until the onion begins to soften.
Add the chicken broth and salt and stir once. Raise the heat to high, bring to a rolling boil, add the chepil leaves, stir, cover and reduce the heat to the lowest setting. Simmer 12 to 15 minutes, until most of the liquid has been absorbed but there is still some moisture in the pan. The rice should be cooked and tender; if it is not, but all the liquid has been absorbed, add 2 tablespoons of water, cover again, and cook for a couple more minutes.
Remove from the heat and let the rice rest, covered, for 5 minutes. Fluff the rice with a fork, and serve.