Heat the vegetable oil in a large non-stick skillet or wok over medium-high heat.
Crack the eggs into a bowl, whisk them briefly, then pour the eggs into the skillet. Scramble the eggs for about 1-2 minutes until they are just set. Remove them from the skillet and set aside.
In the same skillet, add the sesame oil. Once hot, add the mixed vegetables and stir-fry for about 2-3 minutes until they are tender but still crisp.
Add the cooked rice to the skillet, breaking up any clumps. Stir-fry for about 2 minutes until the rice is heated through.
Return the scrambled eggs to the skillet and mix thoroughly.
Pour the soy sauce over the rice and stir everything together, ensuring the rice is evenly coated.
Season with salt and pepper to taste, adding more soy sauce if desired.
Add the chopped green onions, stirring them in just before serving.
Serve hot, garnished with sesame seeds and fresh cilantro if using.