Sam Woodhead says that he intends to continue his travels in Australia and beyond, despite his ordeal in the outback.
The teenager from Richmond is on a gap-year trip and plans to visit the Himalayas before returning home.
His mother, Claire Derry, who flew out while he was still missing, says she will take a short holiday with him in Brisbane.
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His estranged younger brother has been waiting to hear how and when he will be deported to their home country.
Missing Moses, 14, has special needs and has not been seen in the past year.
Police are becoming "increasingly concerned" for the welfare of a missing 76-year-old man from Fulham.