of Thursday by a 9mm pistol owned by the sprinter, and she died of her wounds at the scene.
Pistorius's family has insisted that the evidence will refute "any possibility of a premeditated murder or indeed any murder at all".
Defence lawyers are expected to argue that there are "exceptional circumstances" for Olympic athlete Pistorius to be freed pending trial.
As a result, more details will likely emerge of what happened during the Valentine's Day shooting at Pistorius's upmarket home in a gated estate in the South African capital.
The state, arguing premeditated murder, will oppose bail.
Both sides have called in heavyweight lawyers, setting the scene for a massive legal showdown.
In Port Elizabeth meanwhile, Steenkamp's family were preparing their final farewells.
In an interview published on Monday, Steenkamp's mother described her death as "horrendous."
"Why my little girl? Why did this happen? Why did he do this?" June Steenkamp told the Times of South Africa.
"She had so much of herself to give and now all that is gone. Just like that, she is gone... In the blink of an eye and a single breath, the most beautiful person who ever lived is no longer here."
Her uncle said the family bore the runner no grudge but wanted clarity about Steenkamp's death.
"The family haven't got that animosity or hatred or anything like that but questions, and we realise that it's going to come out," Michael Steenkamp said.
Steenkamp's parents were having a quiet day at home ahead of her memorial after the arrival of family members and friends.
Michael Steenkamp said the family were not watching television or listening to the radio. "We just ignore it completely."
On Saturday a celebrity television show aired haunting footage of Reeva Steenkamp speaking about the need to leave a positive mark on life, words laden with poignancy after her death.
"Not just your journey in life, but the way that you go out and make your exit is so important, you have either made an impact in a positive way or a negative way," she said.
The law graduate had been going out with the 26-year-old Pistorius since late last year.