Ban's spokesperson Stephane Dujarric told Italian wire service ANSA on January 6 that the Secretary-General is "concerned that the (marines) issue remains unresolved thus sharpening tensions between two important member States."
The agency quoted Dujarric as saying that it is "important for both parties to try to reach a reasonable and mutually acceptable solution" and Ban "fears the issue could affect common efforts for peace and international security".
A day before making these remarks to ANSA, Dujarric had told reporters that the position of the UN chief over the issue remained unchanged.
Ban has maintained that the case of the two Italian marines being tried in India for killing two fishermen off Kerala in 2012 should be resolved bilaterally.
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One of the two Italian marines, Massimiliano Latorre, has undergone a heart surgery in Milan to correct a cardiac anomaly, days before his scheduled return to India.
Latorre had then sought an extension of his stay.
The Supreme Court had last month refused the pleas of Latorre seeking the extension on health grounds and that of his fellow co-accused Salvatore Girone the permission to travel there for Christmas, saying they cannot get such a "leeway".
The two marines maintain that they fired at the fishermen after mistaking them for pirates.
The marines had been living in the Italian embassy in New Delhi since then waiting to be tried, and were not supposed to leave the country.