Combine flour, sugar, and salt together in a bowl. Add milk, eggs, and vanilla extract; mix well. Stir in water slowly until batter is very thin and no lumps remain. Cover with plastic wrap and refrigerate for at least 30 minutes.
Melt butter in a large skillet over medium heat. Spread a portion of the batter thinly, covering the bottom of the skillet. Cook until edges begin to brown, 3 to 8 minutes. Flip and cook until lightly browned, 2 to 3 minutes more. Spread a portion of chocolate-hazelnut spread on the crepe while still in the skillet; roll up and serve on a plate. Repeat with the remaining batter and chocolate-hazelnut spread.