is it possible for the non-EU spouse of the EU citizen to travel to Australia only with the EU residence permit card and a travel document (alien's passport) released by the host EU country, knowing that the Australian authorities do not recognize the non-EU spouse's passport?
You have a refugee travel document issued by Italy and wish to know if you can travel to Australia visa-free with this document.
Unfortunately, no, you cannot use Australia's ETA programme with a refugee travel document; only passports are allowed.
To apply, you must hold a passport issued by one of the countries or regions listed below. If you hold a non-citizen passport or other travel document, such as a Certificate of Identity, you are not eligible to apply for an ETA.