Simbu has applied for anticipatory bail fearing arrest in the Beep Song controversy.
The CBI suspects that Chidamabaram and his son Karti also received kickbacks from other companies.
A bench comprising Chief Justice N V Ramana and Justices D Y Chandrachud and Surya Kant also issued a notice to the Agartala police on the plea filed by advocates, Mukesh and Ansarul Haq, and journalist Shyam Meera Singh against lodging of the FIR.
Controversial godman Asaram Bapu, who had been lodged in Jodhpur jail since August in a sexual assault case, was on Monday brought to Amhedabad for interrogation in a similar case registered against him in Surat.
Self-styled godman Asaram Bapu sought more time from Jodhpur police for appearing before it in connection with sexual assault charges against him even as he dismissed the allegations as being "baseless".
The estranged wife of former Delhi law minister Somnath Bharti on Monday told the Supreme Court that she was not ready to undergo mediation to settle the domestic violence and attempt to murder case lodged by her against the Aam Aadmi Party leader.
Since his arrest on August 21, he has till Tuesday spent 54 days in custody -- both of the CBI as well as judicial -- in nine spells.
The six-time independent legislator said though he would be labelled anti-Dalit, he is only talking about equality.
The court had also directed Chidambaram to cooperate with the investigation in both the cases as and when required.
Finally breaking his silence, Delhi Chief Minister Arvind Kejriwal said that the former law minister and Aam Aadmi Party lawmaker Somnath Bharti, who has been booked in a domestic violence case, is becoming an embarrassment for the party and his family, and therefore should surrender.
On February 13, 2015 an FIR was registered against him and he was granted anticipatory bail in the case on March 21.
The Act will further amend the Indian Penal Code, Indian Evidence Act, 1872, the Code of Criminal Procedure, 1973 and the Protection of Children from Sexual Offences Act, 2012.
The Punjab government had moved a habeas corpus petition in the high court on Friday.
Tejpal, former Tehelka editor-in-chief, was accused of sexually assaulting the colleague inside the elevator of a luxury hotel in Goa in 2013.