Government representatives from several affected countries, including at least one head of state, have started arriving in Christchurch, the Herald has been told.
The Ministry of Foreign Affairs referred our queries and requests for confirmation to the police.
According to Jordan's foreign affairs ministry, two Jordanians were among those killed. Pakistan said five Pakistanis were missing and four injured.
At least two Malaysians are also thought to be injured, and one of them has been named as technician Rahimi Ahmad, who remains in a critical condition.
He was shot in the abdomen and spine at Al Noor mosque and had undergone at least two surgeries to remove the bullets.
Two Malaysian state assemblyman Azrul Mahatir Aziz and state exco Phee Boon Poh arrived in Christchurch on Sunday morning and had spent the afternoon with families of the two victims.
Ahmad's mother, Rokiah Mohammad, will also be arriving on Saturday evening to join the family.
The other injured Malaysian national is Mohammed Tarmizi Shuib, a flight simulator operator.
His 14-year-old nephew, Idris Khairudin, was in the mosque with him when the shooting started.
Khairudin said prayers were just about to begin when he heard multiple gunshots.
"At first I thought it was just like construction work or something, then people were all running and screaming," said the 14-year-old Hillmorton High School student.
He managed to escape unhurt but said his uncle was shot "in the backside".
It has also emerged that at least three Bangledeshis have been killed and four others injured, and two Indonesians, a father and his son, were injured.
Turkish president Recep Tayyip Erdogan said at least three Turkish citizens had been injured.
It is also believed that one Palestinian national was killed and several injured during the attacks.
The Singapore High Commission said a 24-year-old victim who was killed in the shooting, Tariq Omar, had been incorrectly identified as a Singaporean.
The commission clarified that although the victim's father Rashid Omar is Singaporean, the deceased was not a Singapore citizen.
Red Cross New Zealand has published a list of those missing on its website, which include people from countries including India, Jordan, Saudi Arabia, Bangladesh and Pakistan.