- Preheat the oven to 375 ºF (190 ºC) and line a baking tray with parchment paper.
- On a lightly floured surface, roll out the puff pastry to an 8-inch (20 cm) square. Brush the entire surface with eggwash and sprinkle it with the Parmesan and sesame seeds. Fold the pastry in half and then cut strips about ½-inch (12 mm) wide. Twist these a few times and place an inch apart on the prepared baking tray. Chill the straws for 10 minutes.
- Bake the straws for about 20 minutes, until a rich golden brown (the twists may unwind a little as they bake, but they will still look nice when finished).
The straws will keep in an airtight container for up to 2 days.