Preheat oven to 375℉ and grease a 9-inch bread pan.
In a saucepan over medium-low heat, cook the strawberries with the white sugar and water for 3-4 minutes or until strawberries are slightly softened.
Drain strawberries, reserving the liquid.
In a large bowl, whisk together bananas, eggs, melted butter, and brown sugar.
Add flour, cinnamon, baking soda, nutmeg, and salt, stirring until just combined.
Fold in the strawberries.
Pour batter into prepared pan and bake for 40-45 minutes or until the centre is cooked through.
Cool completely.
To make the glaze, whisk the powdered sugar with 2 tablespoons of reserved liquid from the strawberries, adding extra liquid as needed to make a thin glaze.
Pour glaze evenly over the bread and allow to sit for 5 minutes to harden before slicing.