While still warm, use a pastry brush to soak the coconut frangipane cakes with simple syrup and rum.
Once the cakes are cooled, remove them from the oval molds and set on a parchment-lined sheet pan. Using a flat pastry tip, pipe the Swiss meringue with a snake-like motion on top of the cake.
Brûlée the meringue with a torch, just enough to get a nice