Oven Preparation: Initiate the procedure by preheating the oven to a temperature of 375°F (190°C). Concurrently, thoroughly spray an 8 x 8 x 2-inch glass or ceramic dish with a high-quality non-stick cooking spray. If an alternative size is being used, such as 7 x 9 x 2 inches, ensure it is also appropriately prepared.

Filling Preparation: In a mixing bowl of suitable size, combine the finely diced apples, granulated sugar, corn starch, ground cinnamon, and ground nutmeg. Stir the mixture assiduously to ensure that the apple pieces are uniformly coated with the other ingredients.

Cinnamon Roll Processing: Extract the cinnamon rolls from the cans and slice them into ¼ inch thick sections. Subsequently, on a work surface dusted with flour, delicately roll out each cinnamon roll slice until its thickness is reduced. Given the inherent stickiness of the cinnamon rolls, one may need to occasionally dust both the rolling pin and one's hands with flour to facilitate the process.

Initial Layering: Methodically arrange the first set of flattened cinnamon roll slices on the bottom and along the sides of the prepared dish, ensuring that there is a slight overlap between adjacent slices. Apply gentle pressure using the palms to ensure that the pieces adhere to one another, forming a cohesive layer.

Adding the Filling: Evenly spread half of the previously prepared apple filling over the base of cinnamon rolls. Following this, drizzle approximately 2-3 tablespoons of the caramel sauce over the apple layer.

Secondary Layering: Overlay the apple and caramel layer with another layer of flattened cinnamon rolls, followed by the remaining apple filling. Once again, drizzle the apple layer with the caramel sauce and conclude with a final layer of flattened cinnamon rolls.

Baking Procedure: Cover the assembled dish with a piece of aluminum foil and place it in the preheated oven. Allow it to bake for a duration of 30 minutes. After this period, carefully remove the aluminum foil and continue baking for an additional 10-15 minutes, or until the top layer achieves a golden-brown hue.

Cooling and Serving: Once removed from the oven, the dish should be allowed to cool for a minimum of 30 minutes. Subsequently, drizzle the provided icing (accompanying the cinnamon rolls) over the top. Slice into desired portions and serve.