Spray bottom of 13×9-inch (3-quart) glass baking dish with cooking spray.
In baking dish, place bread cubes.
In large bowl, beat eggs, milk and ½ cup of the maple syrup with wire whisk.
Pour over bread cubes. Cover tightly; refrigerate at least 8 hours or overnight.
Heat oven to 350*F. Uncover; bake 35 to 40 minutes or until edges are golden brown.
Top with the banana slices.
In a microwave safe bowl, heat the remaining 2cups of syrup and the 1 tsp of rum extract.
Pour this over the bananas.
Let stand about 10 minutes before serving.