U.N. 'deeply concerned' about Falluja
 |  U.S. Marines arrive at a mosque in Falluja, where a wounded, unarmed insurgent was shot. |
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| ON CNN TV |
 Watch for CNN correspondents' frequent updates on the situation on the ground: live reports from the U.S.-Iraqi offensive in Falluja.
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 VIDEO |
 The U.S. Marines are investigating the shooting of an apparently unarmed insurgent.
 (WARNING: GRAPHIC CONTENT) U.S. Marines apparently shoot an enemy combatant who's pretending to be dead.
 Marines wounded in Falluja would return "in a heartbeat."
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(CNN) -- The U.N. office for human rights has issued a tough statement about the fighting in Falluja, saying it is "deeply concerned" about civilians caught in the crossfire.
The statement Tuesday from the office of Louise Arbour, the U.N. high commissioner for human rights, called on all parties to take "every possible precaution" to protect the residents of the Iraqi city.
U.S. and Iraqi forces said they have secured the city following a weeklong campaign to quell insurgents and were continuing to move on insurgent remnants.
"There have been a number of reports during the current confrontation alleging violations of the rules of war designed to protect civilians and combatants," the statement said.
Arbour is "particularly worried" over the "poor access" for humanitarian aid delivery and the lack of information about casualties, the statement said.
"The high commissioner considers that all violations of international humanitarian law and human rights law must be investigated and those responsible for breaches -- including deliberate targeting of civilians, indiscriminate and disproportionate attacks, the killing of injured persons and the use of human shields -- must be brought to justice, be they members of the multinational force or insurgents."
Meanwhile, the U.S. military is investigating the shooting of an unarmed, wounded insurgent by a U.S. Marine during the battle for Falluja. The incident was captured on videotape by a pool reporter.
The man was shot in the head at close range Saturday by a Marine who found him among a group of wounded men in a mosque that Marines said had been the source of small arms and rocket-propelled grenade fire the previous day.
The Navy's Criminal Investigative Service said it plans to question one of the other wounded Iraqis as part of the probe, according to the pool reporter embedded with the unit.
The Marine has been removed from his unit and taken back to the headquarters of the 1st Marine Expeditionary Force. (Full story)
