Meanwhile, preheat a medium saucepan over medium heat and add the butter and onions. Cook for 3-4 minutes, until they begin to reduce in volume. Remove from heat, carefully add the milk and return to the heat.
Stir until the milk almost reaches the boiling point (about 2-3 minutes) and then add the semolina. Cook for about 2-3 minutes, until we have a thick cream like that of galaktoboureko.
Remove from the heat and add the crumbled feta cheese, thyme and mix well. Once the ingredients are combined, adjust the taste with salt and pepper and then add the eggs (which we have beaten in a bowl) mixing quickly.
Butter and sprinkle with semolina a pyrex dish or baking pan approximately 25 x 35 cm. and spread the cream evenly.
With a brush, brush the yolk on the surface of the cream and bake in the oven for 35 - 45 minutes.
Remove from the oven and let it cool for at least 2 hours, so that we can cut it without it falling apart.
This delicious savory milk pie is perfect for brunch, a snack or a light meal. It is a savory milk pie that does not require a phyllo, that is, a savory milk pie without a phyllo, very easy and delicious!