Mishra was taken by the police from Samagol Jail at Kujang in Jagatsinghpur district for interrogation in connection with the murder of a shipping company official, Mahendra Swain on October 26, police said.
Judicial Magistrate first class Digvijay Das had on Thursday given permission to the police for the purpose.
The remand period, which initially was to begin on Thursday, was earlier put on hold because of the ill health of Mishra, Managing Director of Odisha Stevedores Limited (OSL).
While Bal was later shifted to SCB Medical College and Hospital in Cuttack, Mishra was on Wednesday taken back to jail as his condition improved.
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The court had ordered police remand for both after rejecting their bail pleas on December 27.
The two, who had earlier escaped to Thailand via Kathmandu, were brought to Bhubaneswar on the night of December 26 and taken to Paradip.
Seven persons have already been arrested in connection with Swain's murder.
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