Allam, Mohammad Sharab and Ibrahim Al Azhari were all committed to stand trial in Melbourne's County Court on Tuesday over their alleged attack on a 31-year-old man in February 2024.
The 27-year-old woman, who is chief executive of humanitarian organisation AJF, is accused of picking up Nemer Abusamha before he was allegedly attacked with a hammer in Melbourne's west.
Allam is facing eight charges including unlawfully imprisoning Mr Abusamha against his will, assault in company with others by kicking, and intentionally causing serious injury to him.
But her lawyer Ran Zaydan asked Magistrate Brett Sonnet for the assault charges to be thrown out on Tuesday, because there was insufficient evidence for a jury to convict Allam.
This included that Mr Abusamha changed his story when he gave evidence to Melbourne Magistrates Court, saying Allam did not stomp on his head and he was not sure she was at the park during the ordeal.
Ms Zaydan did not apply for the kidnapping and false imprisonment charges to be withdrawn because she is waiting for police send her phone data analysis, she told the court.
Mr Sonnet agreed the case on the assault charges was "weak" but decided to still commit Allam to trial.
"The prosecution case is relatively weak but I'm unable to make a discharge order," he said.
"You may want to apply to the Crown to say the case against my client is weak."
Allam, Sharab and Al Azhari will face the County Court for a directions hearing on February 11.