They had fled across the border to Bangladesh amid heavy fighting between the Myanmar military and rebel insurgents in Rakhine
Ali has been charged over killings of 24 people, abduction and confining of 12 others apart from looting and torching 125 homes in Kishoreganj during the 1971 Liberation War.
The International Crime Tribunal -1 headed by Justice M Enayetur Rahim finished hearing the case on Monday before issuing a CAV.
The Latin term 'Curia advisari vult' (CAV for short) literally means 'the court wishes to be advised', meaning it reserves the judgment for another day.
The trial started on Nov 11 last year.
The accused went into hiding after prosecution pressed the charges in August.