The apex court also exempted for two weeks Massimiliano Latorre, who suffered brain stroke on August 31, from appearing before the Chanakyapuri Police Station once a week as a condition of his bail.
"It is a case of illness and physical condition. If you have any serious objection (on the plea) you have to tell us," a bench headed by Chief Justice R M Lodha said while asking the Centre to respond to the plea of Latorre and posted the matter for hearing on September 12.
Senior advocates Soli Sorabjee and KTS Tulsi appeared for the Italian marines Salvatore Girone and Lattore.
Tulsi submitted that Italian Ambassador to India, Daniele Mancini, who was present in the court room, is ready to give any undertaking in this regard.
Latorre had submitted a request to the Supreme Court to allow him to return to Italy for his "more rapid and complete recovery".
The case pertains to the killing of two Indian fishermen allegedly by Italian marines Latorre and Girone on board ship 'Enrica Lexie' off Kerala coast on February 15, 2012.
The Supreme Court on January 18, 2013 had directed the National Investigation Agency (NIA) to probe the case against the marines and directed the Centre to set up a special court to conduct the trial on a day-to-day basis after transferring the case from a court in Kerala to national capital.