1- Pre-heat oven to 200°C / 400°F ; wash the apricots, cut them in halves and take pits off ; butter 6 to 8 pie dishes.
2- In an electric mixer (with blade), put the flour and sugar, and the pinch of salt ; while mixing, add the eggs on by one, then the milk, then the single cream, and finally the rum.
3- Lay the apricots halves evenly on the bottom of each dish ; pour over the batter.
4- Bake in oven for about 30 minutes ; serve warm.