Hi James, I am assuming that you have joined AHRI and attend the regular meetings that are held in your area? If not, that is the first step so that you can be meeting people and building relationships within the field.
HR people by nature love to help people so leverage off those people you know and ask for advise from them.
Does your previous company have a division here in Australia? Perhaps you could get in contact with them and ask for introductions to some of their suppliers, customers or business partners.
If you have a particular industry or specialisation that you work within, find out what industry association represents those people and start going along to their association functions i.e. if you are a specialist in hospitality, talk to Australian Hotels Association or the Restaurant and Catering Association; if you have a manufacturing background, try and connect up with Australian Industry Group. The industry associations will put you into contact with managers within the industries and you can leverage of any relationships you form there. Another option is AIM - they are active in all major centres and some regional areas too. Join the chamber of commerce in your local area as you will meet small to medium sized businesses who may look at having someone from an international background but didn't think they could afford one, or they may consider the option of voluntary assistance as they don't have the money that other companies have to have an
HR person so any assistance will be appreciated.
As for the recruitment market, see who is hiring in the area you would like to work in and give them a call to see if they will give you some time to talk and share their experiences.
Hope those ideas from the top of my head help.
Good luck
Mary-Leigh