Rome is 7 hours behind Shenzhen
Best overlap: 3:00 PM to 6:00 PM in Shenzhen is 8:00 AM to 11:00 AM in Rome.
The hours that work for both Shenzhen and Rome are 3:00 PM to 6:00 PM (Shenzhen) and 8:00 AM to 11:00 AM (Rome). Roughly 3 hours of shared hours means scheduling takes a little care — 3:00 PM in Shenzhen / 8:00 AM in Rome is a safe default. A quick caveat — Rome's clocks move for daylight saving and Shenzhen's don't, so the times here are right for only part of the year.