Cut out pizza dough circles, 5 inches (12 cm diameter) and wrap each one around a cannoli mold.
Heat the oil in a tall frying pan (I used a wok) and deep-fry the cannoli for less than a minute per side, until lightly golden.
Place the cannolis on kitchen paper - to bsorb excess grease - and wait a few minutes before removing the mold.
Once you’ve fried all the circles, spread a teaspoon of pesto inside each cannolo. Then add the stracchino cheese (you may use a pastry bag, but a teaspoon works fine).
If you are serving the pizza cannoli later, wait until a few minutes before serving to fill the fried pizza dough.