If that's what I think it is, the rest of the world (including Italy) calls it a Sorbet or Sherbet:
https://en.wikipedia.org/wiki/Sorbet
It's basically ice, fruit pulp and sugar, blended together.
https://en.wikipedia.org/wiki/Sorbet
It's basically ice, fruit pulp and sugar, blended together.
Sorbet, Sherbet, "Italian Ice" and "Water Ice" (as experienced in Philly) are not all the same thing.
Also, sherbet contains dairy, none of these others do.