To bring a touch of Mediterranean flavor to your culinary journey, start by adding a drizzle of olive oil to a large pot. Toss the finely sliced carrots into the hot oil and let their inherent sweetness combine with it. When they begin to soften and release their fragrant charm, add the onions and continue cooking. Sauté the peppers and leeks until they soften under the combination of flavors, then add them to the pan with the chopped vegetables.