Nick Vivarelli International CorrespondentReed Hastings made the trek to Rome to open Netflix’s new Italian headquarters in an elegant building just off the Via Veneto of “La Dolce Vita” fame — and the Roman rain gods made sure they knew he was there.Menacing dark clouds interspersed with flashes of sunlight had hovered over the hour-long outdoor presentation of a rich slate of Netflix Italian originals, headlined by a high-end series adaptation of classic Italian novel “The Leopard.” Yet the weather had somehow held up.Right until, that is, a minute after Hastings took the stage.“To start [in Italy] with this facility, with all the creators that we have today, is such an honor, especially as I feel the first drop of rain,” said Netflix’s founder and co-CEO. As it gradually began to pour, Hastings reminisced about the fact that 20 years ago, when his wife and children moved to Rome while he remained in the U.S.