However, the ruling about the same will be made public tomorrow, according to Italian news agency ANSA.
"Foreign Ministry informs that the arbitral tribunal set up in The Hague has anticipated today its decision that Girone Rifleman (be allowed to go) back in Italy until the end of the arbitration proceedings, initiated by the Government on June 26, 2015. The return of the conditions will be agreed between Italy and India," the Italian ministry said.
Italy in March had asked the PCA judges to order India to release its detained marine Girone, saying otherwise he risks four more years in India without any charges being made which would amount to "grave violation of his human rights".
The PCA is hearing oral arguments by the two sides.
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The arbitration "could last at least three or four years" which means that Girone risks "being held in (New) Delhi, without any charges being made, for a total of seven-eight years", Italy's representative had told the court.
He has not been able to leave India, aside from a few brief permits, since the incident. The other marine, Massimiliano Latorre, is back in Italy after a stroke in 2014.
The Italian government has taken the marines case to international arbitration after repeated delays in the trial in India.
According to Italian Foreign Ministry, the government will immediately start consultations with India that the conditions to give effect to the decision of the arbitral tribunal are quickly defined and agreed.