Break up any clumps in the cold rice with your fingers so the grains are separate.
Heat 1 tablespoon of oil in a large skillet or wok over medium-high heat. Pour in the eggs and stir gently until just set but still soft, about 1 minute. Transfer to a plate.
Add the remaining oil, the green onion whites and the garlic. Stir for 30 seconds.
Add the peas, carrots and corn and stir-fry for 2–3 minutes until hot.
Add the rice and spread it across the pan. Let it sit for 1 minute so some grains toast, then toss and repeat for 3–4 minutes until the rice is hot throughout.
Drizzle the soy sauce around the edge of the pan, add the sesame oil and pepper, and toss. Return the eggs, breaking them into pieces, add the green onion tops, and serve.