Pour half of pudding over vanilla wafer and banana layer while still hot.
Make another layer of alternating vanilla wafers with banana slices on top and pour remaining pudding over second layer of banana layer.
To Make Meringue: In a medium metal bowl, use hand mixer and beat egg whites until foamy. Gradually add 1/4 cup sugar- a little at time, constantly beating egg whites until whites are stiff and will peak. Spread meringue onto last pudding layer covering it completely and using spoon to create peaks around the top of the bowl.
Bake in preheated oven for 15 minutes, just until meringue peaks is browned. Chill before serving.