Instructions

Step 1

Crack 2 large eggs into a medium bowl and whisk until the yolks and whites are completely blended, with no stray streaks left behind. Season with a scant ¼ teaspoon kosher salt—use a little less if you’re working with fine table salt—and a few grinds of black pepper. Fold in the thinly sliced half-onion, ½ cup coleslaw mix, and a scant ¼ cup of julienned ham, stirring gently until everything is well coated and tucked into the eggs.

Step 2

First, melt half the butter in a large nonstick skillet over medium-low heat. Add one slice of bread and let it cook until the underside is light golden, about 2 minutes — you'll see the edges turn toasty and crisp. Flip the bread, add the remaining butter to the pan, and lift the slice with a spatula so the melted butter slips underneath; cook until the bottom is just barely golden, another 2 minutes or so. Transfer to a cutting board, repeat with the rest of the butter and the second slice, then lay a slice of American cheese on top of one toast.

Step 3

**Step 3: Cook the Vegetable Egg Omelette** Melt the last tablespoon of butter in your pan over medium heat. Pour in your egg mixture, then use chopsticks or a spatula to gently spread the vegetables evenly throughout. Let it cook undisturbed for about a minute, just until the edges start to set and turn golden. Using your spatula, gently shape the eggs into a rectangle roughly twice the length of your bread, then slice it crosswise into two even squares. Flip each piece and cook for another minute, until the eggs are fully set but the vegetables still have a little crunch. Sprinkle each omelette with a small pinch of Korean brown sugar or raw sugar right before serving—that subtle sweetness is what makes this dish special.

Step 4

Now it's time to build your sandwich! Lay your cheese-covered toast slices on a plate, then layer the omelet squares on top, pressing down gently so they stick to the melty cheese. Drizzle your favorite ketchup evenly over the omelet layer—don't be shy, this adds that classic Korean street toast sweetness. Top with the remaining toast slices to create your sandwich, then pop it back into the same pan you used for the omelet, pressing down lightly with a spatula. Cook for about 1 minute per side, or until the bread turns golden brown and crispy and the cheese melts into creamy perfection. Transfer to a plate, slice diagonally, and get ready for that first bite of sweet, savory, melty heaven.