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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Police arrived at the 73-year-old's home after Alfie chased a delivery man.
Officers believe the three assaults are linked and are appealing for information about the suspect.
Nine addresses in Lewisham were searched and 13 arrests made early on Tuesday morning in a planned, intelligence-led operation.