The governor had earlier conveyed to Deshmukh his concern over the manner in which Goswami was arrested, the statement said.
The police sought the sessions court to quash the CJM order and grant them custody of the three accused.
Speaking to reporters, Naik's daughter Adnya and wife Akshata claimed they had sent applications seeking justice to the Prime Minister's Office and Raigad superintendent of police.
The Bombay high court had on Monday refused to grant interim relief to Arnab Goswami and two others in connection with the case and directed him to approach a lower court to seek bail.
Goswami and the two other accused Feroze Shaikh and Nitish Sarda will have to appear before a magistrate court at Alibaug in neighbouring Raigad district of Maharashtra on Thursday, pursuant to summons issued to them in December 2020.
The high-profile journalist has been remanded in judicial custody till November 18.
Republic TV Editor-in-Chief Arnab Goswami, arrested in connection with the alleged suicide of an interior designer, was on Sunday shifted from Alibaug to Taloja jail in Maharashtra's Raigad district, the police said.
The magistrate noted that the chain of circumstances, the reason behind the deaths of Anvay Naik and his mother Kumodini Naik and its connection with the accused persons are not established by the prosecution.
A bench headed by Justice D Y Chandrachud on Friday gave reasons for granting relief to the TV anchor and two others in the case.
Republic TV channel telecast visuals of Mumbai Police entering Goswami's residence and what appears to be a scuffle.
A division bench of Justices S S Shinde and M S Karnik said they will pass the order at the earliest, without giving any date.
The sessions court will continue hearing the revision application on Tuesday, special public prosecutor Pradip Gharat said. Goswami's lawyer Parkar said after the revision plea is heard, the court will take up the bail plea for hearing.
On Wednesday night, Goswami was taken for medical examination at a state-run hospital in the coastal town, the official said. After the medical exam, he was taken to Alibaug Nagar Parishad School, which is designated as a COVID-19 centre of the Alibaug prison, and he spent the night there, the official said.
Those held guilty were -- Bashir Ahmed Usman Ghani Khairullah, Zakir Hussain Noor Mohammed Shaikh, Abdul Khan, Feroze Amani Malik, Moin Querishi and Salim Rahim Shaikh.
Those sentenced had been convicted of throwing hand grenades at the Mahim Fishermen Colony.
Goswami came out of the jail around 8.30 pm and waved to people assembled outside from the vehicle carrying him, and thanked the Supreme Court for granting him interim bail.
In a chat on rediff.com, Feroze Azeez offered valuable tips.
The police had sought Goswami's custody for 14 days, but the court held that custodial interrogation was not required. After the court remanded Goswami in judicial custody, his lawyers Aabad Ponda and Gaurav Parkar filed an application seeking bail.
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A round-up of Ranji matches played on Wednesday.
A round-up of Ranji matches played on Friday.
Two seasoned, left-handed Bengaluru-born players -- Amit Verma and Sreenath Aravind -- representing rival teams, stole the honours on day one of a Group B Ranji Trophy match between Assam and Karnataka in Mumbai on Thursday.
Delhi survived a mighty scare before their lower order, led by Nitish Rana and Sumit Narwal, saved the day with some gritty batting as they beat Rajasthan by two wickets in their Group B Ranji Trophy match in Wayanad on Thursday. Resuming the final day on 51 for 3, needing 102 runs more to win, Delhi suffered a batting collapse but finally crossed the target of 153 with Rana (31) and Narwal (27 not out) playing some sensible cricket to take their side home at the Krishnagiri Stadium. The day's start for Delhi was a horrible one with overnight batsman Vikas Tokas (10) being bowled by Pankaj Singh in the fifth over of the day with the addition of just five runs to his individual overnight score. The score was 62 for 4 at that stage.
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A round-up of Ranji matches played on Friday
Virender Sehwag's decision to continue batting at No 3 didn't make much of a difference to his poor form but defending champions Delhi did enough to beat Jammu and Kashmir by 38 runs in the opening fixture of the north zone leg of the Vijay Hazare Trophy.
Stuart Binny, who has lost his place in the Indian Test and ODI teams, struck his ninth first class hundred -- a blistering 156 -- as Karnataka grabbed a huge first innings lead over Assam on day three of their Group B Ranji Trophy match on Saturday.