Preheat the oven to 430° F and grease a baking dish with a tiny bit of butter.
Melt the rest of the butter and let it cool.
Clean and half the apricots removing the core. Arrange them in the baking dish cut-side down.
Whisk the eggs with a pinch of salt and sugar until the sugar is completely dissolved (you can test it with your fingers – you shouldn´t feel any grains) and the mixture is nice and fluffy.
Sieve in the flour so you won´t get any lumps and slowly stir in the butter and milk until you have a smooth batter.
Pour the mixture on top of the apricot halves and cook for 45 minutes.