Whisk the eggs into the boiling milk. Caramelize the sugar. Add the water and cook. Line 3 1-liter molds with the caramel.
Strain the milk mixture, then divide among the molds.
Place a cloth towel in the bottom of an oven tray.
Place the molds on the towel. Add hot water to reach halfway up the molds.
Bake 90 minutes. Refrigerate until completely cold, then unmold.
For the caramel base
Caramelize the sugar in a frying pan until golden.
Glaze the bottom and sides of a rectangular 2-liter loaf pan.
Heat the cream, half the remaining sugar and the tiny seeds scraped from the inside of the vanilla bean, along with the bean itself to the boiling point.
Beat the eggyolks with the remaining sugar. Carefully whisk in the hot cream.
Strain into the prepared pan.
Bake in a water bath for about 90 min. Refrigerate until completely cold. Serve cold