Read somewhere in a blog before I bought the phone that it can be done using Bluetooth and using Blue tooth seem to have the ability to transfer contacts from the ZTE to the Motorola but not the other way round.
Hi Steve. If the contacts are saved in the phone memory of the your Motorola W376G you can just transfer them to the SIM card.
2.Press the center keys and select Copy
3.Select All to SIM or All to Phone. Select Merge or Overwrite.
Once contacts are in the SIM card, just insert it to the ZTE Valet. The contacts should appear in your Contacts list.