Pre heat oven to 375F and spray the muffin tin with non stick cooking spray or grease with butter.
Roll out the puff pastry sheet until you can roughly measure twelve squares (about 2-2 1/2 inches by 2-2 1/2 inches) and cut into 12 squares.
Gently press one square of dough into each muffin tin and poke the bottom of each with the tines of a fork.
Bake for 15-20 mins or until golden brown. Set aside to cool.
While the puff pastry is baking, start the apples. Add the butter to a frying pan over medium heat. Add the diced apples and chili flakes to the pan and cook on medium low for about 5-10 minutes to soften. When the apples are almost done, add the cinnamon almonds and cook a few more minutes. Set aside when done.
While the puff pastry is cooling, make the cheesecake filling. In a stand mixer or with a hand mixer, whip the cream cheese, yogurt together until smooth. Slowly add the icing sugar and mix until smooth.
Once puff pastry is cooled, assemble the cheesecakes: spoon a heaping tablespoon of the cream cheese mixture onto each cooked puff pastry square; top with a tablespoon of cooled apple mixture (sort of gently press it into the cream cheese); finally, drizzle the desserts with olive oil and garnish with fresh rosemary just before serving.
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Notes
Want to prep these ahead of time? Make the apples, cool and store in the fridge. You can make the cream cheese filling ahead of time and store in the fridge. The puff pastry can be baked and fully cooled, then simply stored at room temp until ready to use. When you're ready to assemble, be sure to remove the apples and cream cheese mixture from the fridge at least 30 minutes before using to have it come to room temperature.If you don't love apples, try using a pear instead.