There is a similar cemetery in Buenos Aires, Recoleta: en.wikipedia.org/wiki/La_Recoleta_Cemetery I copied the English address, though obviously it is also in Spanish, Italian and other languages. I think the New World one is actually a bit older.
Off the top of my head, I would say that "obviously" the cemetery in Argentina was influenced by Italian sensibility, but that's undoubtedly too pat. Looking at the monuments in Staglieno, I felt so many displayed a Victorian sensibility, a period coinciding with the making of much of Staglieno. It's kind of a chicken/egg question, as that sort of sentimentality and artistic expression was pretty widespread at the time.