I have been unable to find anyone who repairs snow globes in Australia.
In fact the only person I have found who can repair them is a man by the name of Dick Heibel and he lives in Minnesotta. His details are:
1244 E. Woodley Street
Northfield, MN 55057
Phone: 1-507-645-4571
He is in his 80's so he doesn't have an email address.
Sorry I couldn't be of more help, but the fact that Mr Heibel already receives snow globes from Australia suggests that it isn't something that is done here. At least he doesn't charge a lot.
Good luck!
Melanie.
April 2009