Yesterday, police said they had received numerous calls from the public about the case, one of which yielded vital information, One News reported.
They had seized CCTV footage from the Avalon building.
A resident told Channel 9 she had heard screaming several times before Ms Wright fell. "I heard her screaming once and then she stopped.
"Then she screamed again and then she stopped again, and then she screamed a third time and after that I heard a bang."
Ms Wright's mother, Beth Wright, is a deacon at the Seventh-day Adventist Church in Porirua.
Ms Wright's sister Reza Tagpuno had earlier said the family were in the dark about what had happened. It was unclear whether they would travel to Australia to collect her body.
A spokeswoman for New Zealand's Ministry of Foreign Affairs and Trade said they had not been approached for consular assistance or advice.
Several days ago, Ms Wright was photographed holding a giant python at Australia Zoo, laughing as the reptile wrapped itself around her neck.
A passionate animal rights activist, she once wrote to Parliament appealing for tougher penalties for animal cruelty offenders.
When police arrived at the apartment, Mr Tostee was gone, but he later handed himself in.
Regional Crime Coordinator Detective Superintendent David Hutchinson told Radio New Zealand police were continuing to gather evidence as part of the investigation.
"We have, as you are aware, declared a crime scene at the unit complex."
A forensic examination of the unit was continuing today and would carry on until tomorrow, he said.
There was "no doubt" that police would speak again with Mr Tostee.
"But the investigation at the moment is in the evidence gathering and information gathering stage, so we have numerous detectives working on the case - we are gathering a lot of information and we are interviewing a lot of people.
"Once we work our way through that process we'll sit down and determine the next direction for the investigation," Mr Hutchinson told RNZ.
Police had collected CCTV footage of the area, but they were still interested in speaking with nearby residents who might have other footage with the complex in the background.
- Additional reporting by APNZ