Actor Suraj Pancholi, son of Aditya Pancholi and Zarina Wahab, is the accused in the case.
"What is the status of CBI investigation? Is anybody from the CBI present," asked special women's court judge A S Shende.
The judge noted that the CBI had earlier said that investigation was over but the charge sheet was still not filed.
"It is almost a year now (since the CBI took over the case)," Shende said.
Meanwhile, the court was today also informed that advocate Dinesh Tiwari, who represented Jiah's mother, has now been appointed the special public prosecutor for the case.
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The Bombay High Court in July last year transferred the case to the central probe agency.
Jiah, an American citizen, was found dead at her Juhu home here on June 3, 2013. Police arrested Suraj on the basis of a six-page letter, purportedly written by Jiah, and booked him for 'abetment of suicide'.
According to the police, Jiah was in a relationship with Suraj.
The high court subsequently granted bail to Suraj. His bail application contended that the two were in a consensual relationship, and the letter was being misused by Jiah's mother Rabiya.
Suraj had refused to be part of any scientific tests
like polygraph or brain mapping, which the agency wanted to conduct to get to the bottom of his alleged role in the incident, sources had said.
CBI has alleged that a three-page note seized by Mumbai Police on June 10, 2013 was written by Jiah, in which she narrated her intimate relationship, physical abuse and mental as well as physical torture allegedly experienced at the hands of Sooraj which led to her suicide.
In October 2013, Rabiya had moved the Bombay High Court alleging that Jiah, her daughter, had been murdered and sought a CBI probe which was granted.