Omeleta se Psomi is, plainly, an omelette in bread: eggs cooked in a pan and folded into or laid between bread to be eaten by hand. It belongs to the broad, unglamorous family of egg sandwiches that exist in every food culture as a fast, cheap, filling thing made from what is already in the kitchen. The angle worth taking is that simplicity, because there is nowhere to hide. With three ingredients in play, the egg, the bread, and whatever fat the egg was cooked in, the gap between a good one and a poor one is entirely about technique and timing.
The build runs in a fixed order. Eggs are beaten and seasoned, then cooked in a hot pan with oil or butter until just set, the Greek tendency being a flatter, fully-cooked omelette rather than a runny French fold. While it finishes, the bread, typically a length of country loaf or a soft roll, is split and sometimes warmed or wiped through the pan. The omelette is folded to fit and slid into the bread, eaten immediately. Good execution is about the egg: tender and moist with a faint browned surface, seasoned through, folded so it sits inside the bread rather than hanging out of it. The bread should be fresh enough to compress slightly and hold together in the hand. Sloppy versions are the rubbery, over-fried disc on stale bread that has gone dry at the crust, or a greasy one where the pan was too cold and the egg soaked up oil instead of setting.
The dish flexes with whatever is added to the eggs. Plain is the baseline; common upgrades fold in tomato, cheese, or cured meat before the egg sets, which is where it starts to overlap with richer wraps. The pastourma me avga version, built specifically around spiced cured beef scrambled into the eggs, pushes far enough in flavour and intent that it deserves its own article rather than being crowded in here, as does the cheese pita it can resemble once filled out. On its own, omeleta se psomi stays the honest baseline of the group: a hot omelette, bread to hold it, and nothing between you and whether the egg was cooked well.