LIVE BLOG: Paris Charlie Hebdo chase

The operation to free and secure the kosher supermarket in Porte de Vincennes is not over yet, French media report.

Police have been seen running to the back of the market, and are "clearly looking for someone" according to Donald Hebert, a correspondent for Le Nouvel Observator.

Reports suggest that at least four hostages were killed during the raid, although there has not yet been confirmation from France's Interior Ministry.

French daily Le Monde has confirmed that the man killed during the recent raid on a kosher supermarket was suspected in yesterday's attack on police officers that killed one policewoman and injured a policeman. 

Amedy Coulibaly, 32, is thought to have had links to Cherif Kouachi, one of two brothers suspected of carrying out the Charlie Hebdo massacre. 

The pair were seen together in 2010 while allegedly visiting another terror suspect, Jamal Beghal, as part of a failed prison break-out plot.

A woman thought to be Coulibaly's girlfriend, Hayat Boumedienne, 26, remains on the run. 

Several of the Porte de Vincennes hostages, thought to number at least a dozen in total, hid in the supermarket's cold-storage unit, reports Griff Witte, a Washington Post correspondent who was on the scene.

Police sources have now confirmed to Reuters that at least four hostages were killed, along with hostage-taker Amedy Coulibaly, at a kosher supermarket in Porte de Vincennes.

Police are now combing the site, checking it for booby traps. 

At least four hostages are thought to have been killed during the siege on a kosher supermarket in Porte de Vincennes, according to Reuters, quoting police sources.

Paris's main synagogue, La Victoire Synagogue in central Paris, has been evacuated, the BBC reports. 

Sabbath services scheduled for this evening have been cancelled. 

The BBC is reporting that a police officer was injured during the warehouse raid in Dammartin-en-Goele, where the two Charlie Hebdo suspects were killed.

The brothers reportedly came out of the warehouse firing on commandos.

It is not yet known how severe the officer's injuries are.

At least two children have been led out of the kosher supermarket recently raided by French police.

The scene of the kosher supermarket siege is now quiet, reports a Washington Post correspondent.

According to Griff Witte, who was on the ground, the firing in the suburb of Porte de Vincennes lasted just 30 seconds.

Two columns of police reportedly entered the building - some 12 hostages were then led out to safety.

A young boy was among the people led out of the supermarket after the hostage-taker was "neutralised," according to a source who spoke to AFP.

Translation: 5 hostages freed at the Hyper Cacher in Porte de Vincennes, 2 police officers injured.

The two brothers suspected of launching the Charlie Hebdo massacre came out of the warehouse firing on commandos, AFP reports.

The brothers were both killed.

Sky News is reporting that several hostages held at a kosher supermarket have been freed.

The gunman, also suspected of shooting at two French police officers yesterday, was killed in the swoop, Le Monde reports.

There are reports that the siege in Dammartin-en-Goele is over after a swoop by French commando teams.

An al-Jazeera correspondent on the scene said he had seen 10 to 15 black-clad figures walking freely inside the complex.

The hostages are now free, Le Monde reports, and are being led away from the area.

People are running away from the scene of the second hostage standoff at a kosher supermarket in Porte de Vincennes.

There is a huge police and paramedic presence at the scene.

Two black-clad figures have been seen emerging onto the roof of the warehouse in Dammartin-en-Goele, where the two Charlie Hebdo massacre suspects have been holed up with at least one hostage.

French police have now confirmed to AFP that a commando team has begun storming the building.