"This tragic event must push those who irresponsibly accused and commented to come out and take responsibility," the company said in a statement.
In his suicide note, Costa's last wish was to be cremated in Cambodia so that his body never had to return to France.
The "Survivor" format has been adapted for numerous international versions— and this was not the first time the show has had a contestant die during filming. In 2009, a participant in the Bulgarian version suffered a fatal heart attack while filming on an island in the Philippines.
In another reality show tragedy this week, shooting in the U.S. for the second season of the MTV's "BUCKWILD" has been suspended after a popular cast member was found dead Monday along with two others inside an SUV in West Virginia.
Shain Gandee, nicknamed "Gandee Candy" by fans, was found in a vehicle that was partially submerged in a mud pit about a mile from his home near Sissonville, authorities said. An autopsy completed Tuesday showed that the three men died from carbon monoxide poisoning, and their deaths have been ruled accidental. The tail pipe was submerged and it's possible the gas could have filled the cabin because of the clogged exhaust pipe.
Thomas Adamson can be followed at http://Twitter.com/ThomasAdamsonAP
Associated Press writer John Raby from Charleston, W.Va. contributed to this report