Cellini, thank you for your post. I certainly understand your frustration over receiving a large bill while traveling. While traveling internationally, you are using another carrier's towers for voice and data usage, so it can take longer for the data to show up in our system. We do still send you alerts to monitor your usage to avoid surprises on your bill. You will receive an initial welcome text message advising of the rates and dialing patterns. Then additional messages once you reach $25, $50, $150, etc. in roaming charges. See here for more details about the alerts and ways to monitor your global data usage.
How strange Verizon does not have a global data usage tracker. ATT has one that works great (same as Verizon domestic data usage tracker) so this is technically possible. Anyone understands why?