Preheat oven to 325°F (160°C). Grease an 8–9 inch springform pan and line the bottom with parchment.
Beat cream cheese and sugar until smooth, about 2 minutes; scrape sides.
Add eggs one at a time, then vanilla and sour cream; mix just until combined. Stir in salt.
Pour batter into prepared pan. Dollop warmed Nutella over top in teaspoons.
Use a butter knife to swirl Nutella gently through the batter, don’t overmix.
Bake 40–50 minutes until edges are set and center slightly wobbly. Cool on a rack, then chill 4 hours or overnight.