Preheat oven to 350°F (175°C) and line an 8x8 inch baking pan with parchment paper.
In a large mixing bowl, whisk together the oats, flour, brown sugar, salt, and cinnamon.
Incorporate the chilled butter cubes into the dry ingredients using a pastry cutter or fork until the mixture forms coarse crumbs.
Press approximately two-thirds of the crumble mixture firmly into the bottom of the prepared baking pan to form the base.
In a separate bowl, toss the diced mango with granulated sugar, lemon juice, cornstarch, and vanilla extract until evenly coated.
Spread the mango filling evenly over the bottom crust layer.
Sprinkle the remaining one-third of the crumble mixture over the mango layer.
Bake for 35 to 40 minutes or until the topping is golden brown and the fruit layer is bubbling at the edges.
Allow the bars to cool completely in the pan on a wire rack before slicing into squares to ensure the filling sets.