Preheat the oven to 350 degrees F.
Add all-purpose flour, ground cinnamon, ground nutmeg, ground ginger, and fine sea salt to a small mixing bowl. Whisk to combine. Set aside.
Add cream cheese to stand mixer. Beat on medium for 4 minutes. Scrape down sides of bowl with spatula.
Add sugar and beat on medium for 3 minutes. Scrape down sides of bowl with spatula.
Add pumpkin puree, vanilla bean paste, and flour mixture. Beat on low for 1 minute. Scrape down sides of bowl with spatula.
Add eggs one at a time. Beat just long enough to incorporate after each addition.
Pour the cheesecake batter over the cooled gingersnap crust. Spread evenly with a small offset spatula.
Dollop Nutella over cheesecake using a teaspoon.
Using a sharp knife run the blade back and forth through the Nutella to create swirls in the cheesecake batter.
Bake the cheesecake bars 35 to 40 minutes or until the cheesecake is set along the edges and a slight jiggle in the middle.
Remove the cheesecake bars and cool on wire rack to room temperature. Chill 2 hours, preferably overnight.
Run a paring knife around the edges of the cheesecake bars. Tilt pan slightly and using the parchment paper on one side of the pan, lift the cheesecake bars up and slide them out of the baking pan.