The submission was made on a petition filed by CPM leader V Sivankutty seeking a directive to the State Police Chief to register a case against Pillai.
Earlier, the SIT had reported that there was no role of senior leaders in the murder and the crime was owing to personal enmity.
The court observed that the NIA Special Court had committed a serious error in convicting the accused.
The court also criticised the police for a shoddy investigation and negligence to the same.
Parents of slain Kripesh and Sarat Lal from Periya had filed a petition at the court to investigate the probe.
The Collegium has also recommended appointment of Justice Oka as Chief Justice in Karnataka High Court.
Last year, a special CBI court in Thiruvananthapuram had rejected the discharge petitions filed by the two accused.
Saritha's candidature was rejected as she was convicted in a case related to solar scam for three years and imposed a fine of Rs 10,000.
The seven-year-old victim had succumbed to injuries on April 6.
The court also asked the government whether there was any offence at the time of seizure of the article.
Around 1565 drivers will be relieved from their posts before April 30 .
Justice Devan Ramachandran on April 1 had sent a letter to the Chief Justice inviting attention to the inhuman torture of two minors.
The Kerala HC had directed the state government to take action against politicians who had called for hartals and led to loss of property due to hartal-related violence.
Kerala floods man-made report: Joseph, who was the first to blame official apathy, stands vindicated
Earlier, Joseph had submitted a letter to the Kerala High Court pointing out the state government’s poor dam management for aggravating the flood that devastated the state.
Minister KT Jaleel has been alleged to have favoured the appointment of his relative KT Adeeb as general manager of the State Minority Development Finance Corporation.