Pour the cold heavy cream into a mixing bowl and beat on medium speed until medium peaks form.
Melt ½ cup of Nutella in the microwave using 30-second increments until it becomes runny.
Whisk together the sweetened condensed milk, vanilla extract, and salt into the melted Nutella until well combined.
Pour the sweetened mixture into the whipped heavy cream and gently mix on low speed until combined.
In a freezer-proof container, layer half of your homemade ice cream mixture followed by a drizzle of melted Nutella. Repeat for two layers total.
Transfer your container to the freezer to set for about 1–2 hours, then cover tightly and freeze for at least 8 hours or overnight.
Let the ice cream sit at room temperature for about 5 minutes before scooping to make it easier to serve.