The five-year-old was taken to St. Mary's Hospital with serious injuries, according to CPW.
The call shows that both parents were very calm during the call.
Breaux said the bear bit the girl multiple times on her backside.
The parents turned down several requests from the 911 operator to send an ambulance.
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The woman told Colorado Parks and Wildlife (CPW) officers that her daughter went outside at about 2.30am on Sunday, Mother's Day in the U.S., after hearing noises she thought might be coming from her dog.
Colorado Parks and Wildlife said they are investigating and actively tracking the bear following the attack which occurred in East Orchard Mesa, Grand Junction. The mother started screaming, and the bear dropped the girl.
Kimberly's mother heard screams a few minutes later and looked out the window to see her daughter being dragged off by a bear.
Authorities have begun setting up bear traps around Grand Junction in order to capture the animal which attacked the girl, reports CBS4.
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That's when she saw a large black bear dragging Kimberly, according to the release.
An official with Colorado Parks and Wildlife said traps are now set for the bear.
"The necropsy, along with DNA results will provide the confirmation, but we are confident we have the right bear", said Area Wildlife Manager Kirk Oldham.
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Colorado has an estimated 17,000 to 20,000 bears, a population considered robust in a state of 5.7 million people that also attracts many tourists.