The attack took place about 8pm local time in the heart of the medieval city in eastern France as the market was closing, sending crowds fleeing for their lives.
Due to the European Union's free movement rules, whereby the citizen of one EU country can travel without restriction to another - an agreement non-member Switzerland is also signed up to - Chekatt was able to commit crimes in the different countries.
French President Emmanuel Macron cut short a meeting with parliamentarians at the Élysée Palace following the events in Strasbourg and dispatched Interior Minister Christophe Castaner to the scene, the Élysée said in a statement. Earlier Mayor Roland Ries had given a toll of "four dead and a dozen wounded".
Some 26,000 individuals suspected of posing a security risk to France are on the Fiche S watch list, of whom about 10,000 are believed to have been radicalized, sometimes in Salafist mosques, online or overseas.
A neighbour, who asked not to be named as the gunman is still at large, said he was rarely home. At least 13 people were wounded, several of them critically.
French security forces are coordinating an worldwide manhunt for Cherif C., who is suspected of opening fire at the Strasbourg Christmas Market and killing at least three people.
Another witness, Peter Fritz, told the BBC one of the four people killed was a Thai tourist who was shot in the head and didn't respond to lengthy attempts to revive him. "That's when I realized there was actually a shooting going on", Maurice said.
He was being investigated over an attempted murder, one of the sources said.
Residents in Neudorf have been urged to stay indoors amid unconfirmed reports he has been tracked down and cornered by police in the area. Let us move on. "They're locked in there", local restaurant owner Mouad, 33, told AFP.
The revelations came as French authorities said they would take prime suspect Cherif Chekatt dead or alive, as a massive manhunt continued in the eastern French city and the surrounding region, as well as across the nearby border with Germany.
Terrorist Shouted 'Allah Is Great!' in Deadly Christmas Market Attack
Strasbourg is considered one of Europe's capitals. He had been injured in an exchange of gunfire with a soldier, police said.
When the gunman opened fire at around 8 p.m., authorities quickly realized it was the same man. Laurent Nuñez, secretary of state for the interior ministry, said it was too early to suggest a motive but said a terrorism investigation had been opened.
"Shocked and saddened by the awful attack in Strasbourg". "My thoughts are with all of those affected and with the French people", May tweeted.
Following the shooting, both the Strasbourg City Center and European Parliament were placed on lockdown.
"Small groups of military and police are still there". "Now we just wait".
In December 2016, failed Tunisian asylum seeker and Islamist terrorist Anis Amri stole a truck and rammed through Berlin's Christmas market, killing 12 people and injuring 56 others.
About 720 members of the security forces were hunting for the suspected gunman today. A dozen others were injured.
Armed cops can be seen swarming the area, with roads cordoned off.
Department of Information chief Busadee Santipitaks said diplomats were helping her with accommodation and will work closely with French police if further developments arise.
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