01 -
Mix together the whisked eggs, white pepper, and kosher salt in a medium bowl until everything's blended smoothly.
02 -
Take 2 tablespoons of butter and let them melt in a big skillet over medium heat, making sure it spreads over the whole pan.
03 -
Grab the last tablespoon of butter and spread it on one side of both slices of bread. Keep the bread nearby once done.
04 -
Pour the egg mix into the hot buttered skillet and gently tip the pan around to evenly coat the bottom.
05 -
Lay both bread pieces, buttered side up, on top of the eggs, making sure the edges of the slices touch each other.
06 -
Let everything sit until the eggs are firm and no longer wet, which takes about 5 to 7 minutes.
07 -
Carefully use a big spatula to turn the egg-and-bread combo over in one go. Look for a nice, solid flip.
08 -
Put the cheese slice on one piece of bread and top with the ham. Tuck any extra cooked egg over the fillings.
09 -
Take the other bread slice and fold it over to close the sandwich, with the egg acting as a wrap for your fillings.
10 -
Cook the sandwich a little longer, flipping it occasionally, until both sides are golden and the cheese is gooey, about 2-3 minutes.
11 -
Slide the sandwich out of the pan and enjoy it right away while it’s still warm.