Place the all purpose flour on a clean work surface and make a well in the center. Add the eggs, egg yolk, sugar, butter, brandy, vanilla extract, and salt.

Use your fingertips or a fork to gradually blend the wet ingredients, slowly gathering in flour until the dough starts to come together. Knead for about 5 minutes until smooth and elastic.

Rest the dough for 30 minutes.

Using a pasta machine, flatten the dough and pass it through the machine on the widest setting, dusting with flour as needed.

Cut the dough into strips about 2 inches wide and make a small cut in the middle of each piece to twist one end through the cut.

Heat oil in a frypan to 350°F (180ºC) and fry crostoli until light golden, about 30 seconds on each side. Drain on absorbent paper and dust with powdered sugar when cool.