Investigators have been examining the Lexington County landfill looking for clues, Sgt. Evan Antley of the Cayce Public Safety Department said at a news conference Thursday.
Officials said Faye's death is being treated as a homicide.
The body of Faye Swetlick, the 6-year-old SC girl who went missing from her home on Monday, was found Thursday, ABC News reports.
Snellgrove did not say where the body had been located or reveal the cause of death.
Officials said Thursday that they have identified an SUV they were seeking, but are still looking for a silver vehicle seen in photos, WLOS reports.
Faye was last seen wearing a black shirt with the word "peace" on it, a flower print skirt and polka dot rain boots, according to the Cayce Department of Public Safety.
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No arrests have been made, and no suspects were identified by Snellgrove.
Officials have kept their search extremely limited over the course of their investigation -stretching just past the 1-mile radius of the Churchill Heights neighborhood.
Police released no further information; Snellgrove declined to take questions. Relatives last saw her playing in a yard before reporting her missing to police at about 5 p.m. Monday. "She's not the type of kid that will up and walk away", the statement said.
"I want my baby back", her grandmother said.
Anyone with information that could help law enforcement is urged to contact 803-205-4444.
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Swetlik is a first-grader at Springdale Elementary School.
Officers also found the body of a man during the search.
Police are still urgently searching for a missing six year old last seen getting off a bus.
"In a case of this nature, we are leaving no stone unturned", Antley said.
"Keep Faye, keep that name in your social media posts", Antley said. Faye pays attention to her surroundings.
Investigators have received hundreds of tips and hours of video surveillance footage from neighbors in the last three days. She has been found dead. Cayce DPS Chief Byron Snellgrove said he invited the Federal Bureau of Investigation to join the search, and they are actively participating in the search.
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Family friends also said Faye would not willingly go off with a stranger, that she was raised to know better than to do that.