Singh, 40, had died under mysterious circumstances in Central Jail, Kot Lakhpat, Lahore.
While talking to TOI on Monday, UK based right activist Jes Uppal informed that she had asked about the death of Singh to Malik on Twitter and in response to her query Malik tweeted that "I have ordered an inquiry by FIA (Field Intelligence Agency).
Uppal expressed hope that the truth behind the brutal death of Singh, resident of Jammu, would be exposed to public and his family members in India.
Singh was reportedly beaten to death on January 15 while he was washing clothes in the jail. Chamel was admitted in the Jinnaha Hospital where he breathed his last and since then his body was lying in mortuary waiting for post mortem and repatriation.
A Pakistani advocate Tehseen Khan who was also lodged in the same jail claims to have witnessed the thrashing of Chamel Singh and exposed the incident to media after his release from jail on January 18.
Uppal informed that she had also received a message from Malik's office stating that they had not received authority from Chamel Singh's family for conducting autopsy and return of his body for cremation. "I am told that they require formal request in writing for post mortem and request for Chamel's body to be repatriated to his family in India," she said.
Following Khan's revelations, Pakistan government had also ordered a judicial probe into the death of Chamel Singh but couldn't be completed in want of post mortem. "It is very unfortunate, Pakistan government should expedite the matter so that Chamel Singh's body could reach his family without any further delay and those responsible for his death should be brought to books" she said.
Uppal had already brought the matter in the knowledge of international human right organizations including United Nations, Human Rights Watch and Amnesty International seeking investigations into the case even as Pakistan government had maintained that Chamel Singh had died of heart attack.