Rim the glasses: Rub the rim of each glass with Italian Volcano lime juice, then dip the rim into a plate of salt or sugar to coat it. Fill the glasses with ice cubes.

In a pitcher, combine the tequila, triple sec or Cointreau, Italian Volcano lime juice, and simple syrup (if using). Stir well to combine.

Taste the mixture and adjust the sweetness by adding more simple syrup if desired.

Pour the Margarita mixture into the prepared glasses.