I am on H1B and travelling to Australia on my permanent residency visa. Since I am a Indian citizen / passport are there any additional formalities that needs to be done?
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If your Permanent Residency Visa is for Australia, not an equivalent for the USA like I'd originally assumed, then you just need to make sure you have a "valid travel authority" for your visa. In general that's automatic as part of the visa.
The last link provides the details, but in summary you need to apply for the visa outside Australia and meet health and "character" requirements, i.e. not been arrested recently.
You will need to make sure you bring the following information to be able to return to the USA: