Prepare an 8x8 inch baking pan by greasing and covering the bottom and sides with 2 pieces of parchment paper cut to fit the width, leaving a slight over hanging over the edges.
Cream the softened butter and granulated sugar in a medium bowl with a hand mixer..
Add the all-purpose flour, almond meal and vanilla extract.
Beat for one minute on low. Batter will be thick and crumbly.
Spread crust dough into the bottom of the baking pan then pat down and into the edges with your fingertips.
Bake crust in a preheated 375 F. degrees oven for 10 minutes.
Remove from oven and immediately spread peach pie filling over the hot crust.
Set aside while preparing the cake batter.
Make the cake batter
Cream the softened butter and sugar together on low to combine. Then beat on medium for 2 minutes.
Add the eggs and the vanilla extract to the bowl and beat for another 2 minutes.
Add the all-purpose flour and almond meal to the bowl. Beat on low until light and fluffy, about 3 minutes.
Drop the cake batter by the tablespoon over the top of the peach pie filling.
Using the back of a spoon carefully spread the batter to the edges of the pan.
Sprinkle top with slivered almonds and granulated sugar.
Bake in the preheated oven at 375 F. for 30-35 minutes or until top is a golden brown.
Remove from oven and allow to cool completely before cutting.