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Stephanie Simpson, from the Lenval children's hospital in Nice, said five children remained in critical condition, one was in a "very bad" condition, three were on artificial respiration, one had been stabilised and one eight-year-old child remained unidentified.
French President Francois Hollande met his defence and security chiefs and cabinet ministers on Saturday.
He called for national unity in France and said: "We are in a time when, and we have seen it, there is a temptation to divide the country.
"Faced with these temptations, faced with this risk, we must recall the unity and cohesion of this country."
Mr Hollande, who says the attack was a terrorist act, has already moved to extend a state of emergency by three months, and on Saturday France began three days of national mourning.
A state of emergency has been in place across France since the Paris attackscarried out by militants from the so-called Islamic State group. The 13 November attacks left 130 people dead.
Mr Hollande had proposed lifting the state of emergency on 26 July, but reversed his decision after the Nice attack.
Psychiatrist Dr Sylvie Serret treated many people, including children, who witnessed the traumatic attack in Nice, and she feared long-term post-traumatic stress or anxiety would set in, in some cases.
She told BBC News: "I was with people who were in shock, some couldn't speak or express themselves."
Meanwhile, France's National Front leader Marine Le Pen has called for national service to be brought back, and a national guard to be created to protect France in the wake of Nice attacks.
Speaking in Nanterre, on the outskirts of Paris, the far-right leader also called for the budget for the armed forces to be increased.
Some 30,000 people were on the Promenade des Anglais at the time of the attack on Thursday night.
Residents of Nice and foreign tourists were killed, among them four French citizens, three Algerians, a teacher and two schoolchildren from Germany, three Tunisians, two Swiss, two Americans, a Ukrainian, an Armenian and a Russian.
There was a visible security presence in Nice on Saturday morning and soldiers were patrolling the front of the main train station Gare De Nice Ville.
Stallholder Romain Ribero said France was used to high security in the wake of last year's Paris attacks.
"We feel safe. My children and my wife live here. We feel secure. I am already hurt after Paris, but we must go on," said the 37-year-old, who lost two friends in the November shootings.
Lahouaiej-Bouhlel was known to the police as a petty criminal, but was "totally unknown to intelligence services... and was never flagged for signs of radicalisation," prosecutor Francois Molins said.
However, Prime Minister Manuel Valls said he was "in way or another" linked to radical Islam and Paris prosecutor Francois Molins said the attack bore the hallmarks of jihadist terrorism.
A neighbour of Lahouaiej-Bouhlel, who used to live in a high-rise block of flats on Boulevard Henri Sappia with his family, said he did not believe the 31-year-old was involved with IS.
Samiq, who did not want to give his surname, told the Press Association news agency: "I never saw him going to the Mosque. He was not a Muslim. During Ramadan I saw him smoking."
Speaking in Nice, the president of the Regional Council for the Muslim Faith, Boubakar Bekri, said mosques in the area had responded to the attack.
"Yesterday in all mosques in the region of Alpes-Maritimes, there has been a common prayer calling for vigilance and patience, because these very bad events affect us; and there has been a call for blood donation," he said.