The apex court said all the conditions, which were imposed on the other marine, Salvatore Girone, would be applicable on Latorre as well.
A bench headed by Justice A R Dave added another condition on the union government to submit to the apex court a report every three months about the progress of case at the international arbitral tribunal, which would take a decision on which country had the right to try the case.
During the brief hearing, senior advocate K N Balagopal, appearing for Kerala government, raised some objections on the plea.
Senior advocate Rana Mukharjee, appearing for the victims' family, said it was unlikely that the matter would conclude before the tribunal by 2018 or 2020 and claimed that the game plan was to drag the case.
The apex court on September 8 had decided to hear Italy's plea on behalf of Latorre who had sought urgent hearing on the ground that an earlier court order was valid till Spetember 30 this year.
While relaxing Girone's bail conditions on May 26, the apex court had allowed him to go to his country till the jurisdictional issue was decided.
The apex court had imposed four conditions on Girone including that he has to report to a police station in Italy on first Wednesday of each month and the Italian authorities have to inform the Indian Embassy in Rome about it.
undertaking that he will remain under the jurisdiction of Supreme Court and lastly, if found violating any of these conditions, his bail will be cancelled, the court had said.
The marines, who were aboard the Italian-flagged commercial oil tanker 'Enrica Lexie', are accused of killing two Indian fishermen off Kerala coast on February 15, 2012.
The complaint against the marines was lodged by Freddy, the owner of fishing boat 'St Antony' in which the two Kerala fishermen were killed when the marines opened fire on them allegedly under the misconception that they were pirates.
The apex court had also asked the Italian Embassy here to give an undertaking to abide by the conditions under which Latorre was allowed to leave India.
The court had earlier stayed all criminal proceedings, including the trial of the two marines.
While allowing the joint request of India and Italy, the apex court had said the proceedings would remain stalled till the jurisdictional issue about which country has the right to conduct trial was decided through international arbitration.
The Indian government had then said a five-member tribunal (ITLOS Annex VII arbitral tribunal) would be set up, probably to decide the issue of jurisdiction.
The court, in August last year, had extended the stay of Latorre, who had undergone a heart surgery in Italy, by six months while asking him to file an undertaking that he would abide by its conditions.
Latorre, who had also suffered a brain stroke on August 31, 2014, was allowed by the apex court on September 12, 2014 to go to Italy for four months and after that, extensions have been granted to him.
