Whisk eggs, sugar, rum, cream, salt, vanilla bean & extract in a mixing bowl.
Cube the loaf of bread and add it to the egg base.
Bread will soak up the majority of the liquid. If there is no liquid left on the bottom of the bowl then too much bread was added.
Mash bananas and fold in to the soaked bread mixture.
Bake at 300F (149C) for 1 hour 10 minutes until top is golden brown and center is fully cooked through.
Serve warm with a scoop of vanilla bean ice cream or drizzle with creme anglaise.