The bench comprising Chief Justice H L Dattu and Justice A K Sikri, which had earlier refused to grant the extension to Latorre, agreed to hear his plea on Monday.
Senior advocate K T S Tulsi, appearing for Latorre, mentioned the fresh plea and sought urgent hearing saying that the marine, whose surgery was scheduled on January 8 in Italy, had to get it advanced due to medical urgency.
Earlier, the court had refused the plea of Latorre seeking extension of his stay in Italy on health grounds.
It had also rejected the plea of co-accused Marine Salvatore Girone who had sought the apex court's nod to go to Italy to celebrate Christmas saying they cannot get such "leeway".
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Latorre was allowed by the apex court to go to Italy on September 12, last year for four months for medical treatment and recovery after he suffered a stroke here on August 31.
"Please ask him (Latorre) to come back. He has to come back. We cannot say that he should undergo surgery here. By now he should have got the surgery done. One more medical certificate, one more heart surgery... Victim also has a right. You can not get the leeway. It can't happen like that," the court had said.
Earlier on September 12, the apex court had allowed Lattore to travel to his country for his "more rapid and complete recovery" after he had suffered brain stroke on August 31.