Bake the babàs in a static oven preheated to 340°F (170°C) for 15-20 minutes. Then take them out of the oven, let them cool, ...
Bring to a boil and take out of the heat. Add the rum and the sliced vanilla bean with its seeds. Cover and leave to infuse for 15 minutes. Put the baba on a grid, on top of a deep baking tray.