Police sources told the Courier Mail they were assessing whether that trial may be applicable in their case against Tostee for the murder of 26-year-old Ms Wright.
Ms Wright died early on August 8 after falling 14 floors from the balcony of Tostee's Gold Coast apartment.
It is understood police will base their case on the fact she was in fear for her life and was trying to evade Tostee when she fell.
Police said neighbours heard a woman scream "no, no, no" and "I just want to go home" during the incident.
The pair met on dating app Tinder and it has since been revealed that Tostee fancied himself a ladies' man, boasting online of having taken home as many as 150 women - many of whom he met through the app.
Ms Wright, known as Rrie, arrived in Australia on July 29. She was there for a 14-day holiday and a friend's wedding.
After his appearance in court on Friday, Magistrate John Costanzo remanded Tostee in custody until October 10 and ordered police provide a brief of evidence by September 30.
Outside court, his lawyer Mick Purcell said his client maintained his innocence.