Preparation

For the filling:

• In a medium skillet over medium heat, heat the oil. Add the onion; cook, stirring, until tender and translucent, about 5 min., adding the garlic and salt halfway through. Raise the heat to medium high. Cook, stirring, until golden, another 1 to 2 min. Stir in the canned tomatoes; simmer until the liquid has evaporated, about 2 min. Add the sun-dried tomatoes, pepper, and a pinch of salt if needed. You should have about 1/4 cup filling; set aside 1 tsp. for garnish and proceed with the omelet preparation.

For the omelet:

• In a medium bowl, whisk together the eggs, water, salt, pepper, and the fresh basil until the yolks and whites are well combined but not foamy. In an 8-inch heavy-duty nonstick skillet over medium-high heat, heat the oil and then add the butter. Swirl to coat the pan.
• When the butter melts, pour the eggs into the pan. With a heatproof spatula, scramble the eggs using small, circular scribbling motions until soft curds start to form, 30 to 50 seconds.
• As the mixture firms, spread it over the bottom of the pan; swipe the sides as needed. Stop working the curds to let the omelet begin to firm and let it sit about 30 seconds. (If you like your eggs well done, let it go a bit longer.)
• 均匀地撒奶酪，在煎蛋卷边缘留下很少的边缘。添加其他填充成分，然后使用刮铲将其轻轻压入凝乳中，以将填充物掺入煎蛋卷中。
• With the spatula, lift one-third of the omelet and fold it over the center like a business letter.
• Tilt the pan toward the plate to slide the omelet so one-third of it hangs over the pan’s edge. Invert the pan, using the spatula to help support the omelet so that it flips neatly over itself as it slides out of the pan. Garnish with the pesto and the reserved filling.