Both KLM and China Eastern fly directly from Amsterdam to Shanghai - KLM up to twice a day.
Ask the company that booked your ticket to move you to a direct service; it is unnecessary to fly via Rome.
Your arrival/departure information above is wrong; you won't arrive on KLM at Gate 1, but in Terminal 1. You won't depart on China Southern from Gate 3, but from Terminal 3. Note also that China Southern does not fly directly to Shanghai from Rome (but China Eastern does, just as they fly directly there from Amsterdam) - if you really are flying with China Southern from Rome, that means you will be connecting again in either Guanghzhou or Wuhan. All the more reason to ask to be put on a direct service from AMS.
