Preheat the oven to 350°F (177°C). Line a 12-count muffin pan with liners and a second 12-count muffin pan with only 4 (this recipe makes 16). Set aside.
Mix the cookie crumbs, sugar, and butter together in a medium bowl until combined. The mixture will be thick, coarse, and sandy. Press a heaping Tablespoon of mixture down into each liner, making sure the crust is tight and compact.
You might have a little crust leftover. If so, press a little more into each liner if desired! Pre-bake the crusts for 5 minutes. Remove from the oven and set aside.
In a large bowl using a handheld or stand mixer fitted with a whisk attachment, beat the cream cheese on high speed until completely smooth, about 1 minute.
On medium-high speed, beat in pumpkin, egg and egg yolk, scraping down sides of bowl as needed. On high speed, beat in sugar, cinnamon, pumpkin pie spice, and vanilla until combined.
Pour the filling evenly into each crust.
Bake until centers of pies only slightly jiggle, 18 to 20 minutes. Let cheesecakes cool at room temperature in the pan set on a wire rack. Once completely cool, place cheesecakes in the refrigerator for at least 2 hours or overnight.
The cheesecakes will slightly sink in the middle- that’s ok! It gives you room for the caramel. Feel free to toast the pecans for the topping as the cheesecakes cool. To toast, spread the chopped nuts on a lined baking sheet and bake for 8-10 minutes at 300°F (149°C).
Once chilled, drizzle each with salted caramel sauce and garnish with pecans. Store leftovers covered tightly in the refrigerator for up to 3 days.
