Dr Schram was arrested on Wednesday this week and charged with false pretence.
He was arrested over allegations he produced falsified and fraudulent documents relating to his PhD qualification, which he obtained on 24 November 1994 from the European University Institute.
He appeared at the Committal Court on Thursday after he was allowed police bail of K2,000.
He returned today before the same court with his lawyer, seeking variations to be made to his bail conditions.
He asked the court to allow him to travel to Italy and bring back the original copy of his PhD certificate -which is the subject of this case.
Schram, who was picked up by police whilst transiting from Cairns, is in the country on a tourist visa. His employment visa was revoked after his termination.
His arrest stems from complaints made in 2012.
His lawyer Greg Manda submitted before Magistrate Alex Kalandi in court that he intends to travel to Italy and bring back the original certificates.
Being in the country on a tourist visa, he says his client is asking the court to also vary the bail conditions so he can leave before May 31 to comply with the tourist visa. He intends to return on June 11.
Another ground for his application is to visit his sick and worried mother.
Police Prosecution opposed the bail variation application.
The Committal Court will give its ruling on his application on Monday.
(Dr Schram at the Committal Court today)