Mr Lasry said Australia was well-placed to encourage countries like Singapore to embrace human rights.
Ngyen's body was accompanied by his mother and twin brother on an overnight flight from Singapore.
A funeral service is to be held in Melbourne's St Patrick's cathedral later this week.
The 25-year-old was hanged in Singapore on Friday after being convicted of importing heroin into Singapore in December 2002.
The Singaporean authorities had rejected calls for clemency for Mr Nguyen.