VIC Property ownership as security

Seems like an extreme idea. Normally a monetary security bond is sufficient...

Is the property held as freehold in the fathers name?.... If not, then the bank holds the title & changing the name on the title will not be possible unless the mortgage is paid & the property refinanced... Then ther's the the issue of stamp duty payable..

Are there parenting orders in place?
Do the kids have passports?

If the mother continues to object, the father can make an application to the court to allow the travel... He has property here so if he also has family here & a job, then they are all things that go in his favour to reduce the courts concern that he is risk of not returning.. Also travel to a Hague convention country, & a willingness to pay a security bond

If the mother objects to the travel then the children are not allowed to travel.

You will need to apply to the court to get an order allowing the children to travel. If he puts to the court that he is willing to put his house up as security, the court will be reassured that the children will return.

Read this article on traveling overseas for children