The New Zealand parents of triplets killed in the fierce mall fire in Qatar will shortly meet with consular officials to discuss bringing the bodies home.

The two-year-olds, Lillie, Willsher and Jackson Weekes, were among 13 children in the death toll of 19 when the blaze swept through the Villaggio mall in the capital of Doha on Monday morning.

Their parents, Jane and Martin Weekes, attended an emotional vigil on Tuesday evening for the victims of the disaster, marked by an impromptu haka and waiata.

In a statement, the grieving couple said the Wellington-born triplets were the "joy of their lives" and they were grateful for love and support they had received since the fire.

It's expected the couple will meet with consular officials in the next few hours to discuss repatriation of the bodies and any plans they may have for a funeral service, 3News reports.

Meanwhile, the daughter of a Qatar government minister is among five people arrested over the fire.

They also include the owner of the Villaggio Mall which housed the Gympanzee childcare facility the triplets were attending when the fire broke out, and the nursery's owner, the Qatar News Agency reported.

The English-language Doha News website says the Gympanzee owner is Iman Al-Kuwari, the daughter of Dr Hamad bin Abdulaziz Al-Kuwari, Qatar's Minister of Culture, Arts and Heritage.

It says Dr Al-Kuwari described his daughter as "the saddest person on earth".

The fire claimed the lives of 13 expatriate children: seven girls, six boys, along with four female teachers and two firefighters.

The victims include children from Spain, France, and others from Japan and South Africa. The dead teachers include three Filipinas and one from South Africa.

The Weekes children had been attending the Gympanzee childcare centre in the mall for about two or three months.