I have the opposite doubt: I live in Europe and use an unlocked Verizon DP with a local sim card. What to do when I'll need to go to USA ?
There is no SIM card for CDMA. Verizon activates the phone based on the ESN.
When travelling, if you use a local SIM card from the place you're travelling to, the phone will only get calls to the number of that SIM card. If you use a Verizon world SIM card, you can get calls to your Verizon number, but the roaming charges are extremely high.
The Global SIM card that Verizon gives you is a GSM SIM card.
In the U.S., we don't use the OMH system for CDMA. Network settings are tied to the phone itself, rather than a SIM card.
I don't have Verizon service, so I can't call them for you.