The 30-year-old Bulgarian father of the two boys, aged 10 and 8, who were found dead inside a locked car in Xylofagou on 28 June, appeared before the Dhekelia Court on Thursday.
He faces two charges of causing death by a reckless and negligent act, one relating to each child.
The 30-year-old was ordered to remain in custody until the case is heard.
Thursday's proceedings before the Dhekelia Court were preliminary in nature and took place without the physical presence of a judge. Instead, the hearing was conducted via videoconference through a direct connection with a senior judge in England, who will handle the case.
The 30-year-old defendant has changed lawyer and will now be represented by Christos Theodoulou, who informed the court of his client's intention to submit an application seeking permission to attend the funeral of his two boys, which will take place in Bulgaria.
It should be noted that the bodies of the two minors have not yet been transferred to Bulgaria, pending examination of the father's request.
The English judge will announce his decision on 30 July on whether the accused will be allowed to travel to Bulgaria to attend his children's funeral.
In addition, he scheduled the continuation of the case for 22 September, when the defendant will be asked whether he admits or denies the charges he faces.
The offences carry a sentence of up to four years' imprisonment.
If he denies the charges, the trial proceedings will begin on 30 September, the date that has already been set for the hearing.
As previously reported, police allege that on the tragic day the two brothers were left alone and unsupervised, as their father and his partner had left for work earlier that morning.
The defendant travelled to his workplace in Limassol in the early hours of 28 June and returned to his apartment in Xylofagou after his children had already been found dead inside the locked vehicle.
The movements of the two brothers were captured by a closed-circuit television camera. The footage showed them playing outside their father's apartment and, at some point, entering the fatal vehicle through an unlocked door and continuing their play inside.
Examinations conducted by experts subsequently revealed a fault in the vehicle's locking system.
