It's a gorgeous trailer but if I were marketing this I would make something more upbeat and include Love My Way by the Psychedelic Furs (which this movie will drive into your head). It's a very fun, accessible movie in a lot of ways.
Something odd is that the script used to be credited to James Ivory, Luca Guadagnino and Walter Fasano (Guadagnino's editor) but now the latter two have lost their credit.