This is the second time for the appellate court to consider the Maric case. First, it quashed the first-instance court's decision not to hand Maric over to Croatia and returned it for reconsideration. The second time it ruled on non-extradition was on 26 January.
The 60-year-old Maric has been in custody in Belgrade since his arrest at a Serbian-Bulgarian border crossing in April 2010.
The presentation of evidence began at a hearing in Belgrade on 15 November 2010, after which the trial was postponed pending a decision on Croatia's extradition request.
The presiding judge in the case said at the time that the court would decide on the continuation of the trial at a later date to prevent unnecessary additional costs.
The trial opened on 7 October 2010 with Maric pleading not guilty to the charges.
The indictment, issued on 12 August 2010, alleges that as a member of the Croatian Army 77th Battalion of Grubisno Polje, Maric took part in a mop-up operation in the village of Rastovac on 31 October 1991 and that during that operation he shot dead Petar Slijepcevic in front of his wife in their family home in Rastovac.
The indictment says that during armed hostilities between Croatian troops and rebel Serb forces in the Grubisno Polje area, the Croatian troops carried out a number of organised attacks in September and October 1991 during which more than 30 villages were looted and set on fire.
The Office of the Serbian War Crimes Prosecutor said on 1 November 2010 that it had filed a request to launch another investigation into Maric on the suspicion that he committed war crimes against civilians and against wounded and infirm people in the area of Grubisno Polje in September 1991.
On 5 January this year, the Osijek County Prosecutor's Office issued an indictment against Maric on the suspicion that he had committed war crimes in Rastovac in 1991.