What are my rights when a neighbour drills into my property wall without permission?

In Australia, your neighbour generally cannot drill into your property wall without your permission, as this constitutes an encroachment on your private property. You have the right to prevent unauthorised access or damage to your property. It is advisable to first attempt to resolve the issue amicably by discussing it with your neighbour, but if that fails, you may need to seek legal advice to understand your options for protecting your property rights and potentially seeking damages or an injunction.