In the bowl of a stand mixer fitted with the whisk attachment, whip the heavy cream with the vanilla extract on medium-high speed until mousse-like, about 5 minutes.
Sift together the powdered sugar, flour, cinnamon and cornstarch in a separate bowl then gently fold the dry mixture into the wet until it is fully incorporated. Cover the bowl with plastic wrap and let it sit at room temperature for 30 minutes.
Heat the panini press to medium-high heat (or 375°F).
Place a heaping tablespoon of batter in the center of the panini press, close the lid and cook the waffle for about 90 seconds.
Quickly remove the waffle from the press and use a circular 2-inch cookie cutter to cut out rounds. Set the waffle cone cookies aside to cool.
Once the waffle cone cookies have cooled, spread one side of a cookie with Nutella and top with a second waffle cone cookie to form sandwiches.