Quoting the Turkish daily Yeni Safak, the AFP reported that Khashoggi's alleged killers tortured the journalist during interrogation by cutting off his fingers.
US Secretary of State Mike Pompeo has been meeting King Salman in Riyadh.
After his meetings with the King and Crown Prince on Tuesday, Pompeo said Saudi Arabia has committed to conducting a full investigation.
But he refused to say whether he thought Khashoggi was alive or dead or who could be responsible.
President Donald Trump tweeted his full-throated support of Saudi Prince Mohammed bin Salman, who insists he was totally unaware his operatives sent to interrogate and kidnap Washington Post journalist Jamal Khashoggi meant to kill him and cut up his body to get him out of the country in diplomatic pouches.
Turkish President Tayyip Erdogan has suggested parts of the consulate had been repainted since the disappearance of the journalist, who was a critic of the Saudi regime. The statement would pin blame on intelligence officials rather than Saudi leaders, alleging that an interrogation attempt had gone wrong and Khashoggi, who is a US resident and an opinion writer at the Washington Post, was killed without authorization. Kavanaugh was eventually confirmed after the FBI investigation found no corroborating evidence for the charges.
But hours before the Turkish forensic team arrived, journalists photographed a cleaning crew entering the consulate, hauling buckets, mops and what appeared to be bottles of cleaning solution.
The new explanation, whatever its truth, seemed meant to ease the political crisis that Mr. Khashoggi's disappearance has created for Saudi Arabia. They gave me their word.
"For years, they have been known as the super-conservative country where women can't drive, gay people get flogged and thieves have their hands chopped off", Noah said.
Graham said he did not know what Trump was going to do about the Khashoggi incident.
President Donald Trump has been even more forgiving, likening the Saudis to Supreme Court justice Brett Kavanaugh and asserting that they could not be "guilty until proven innocent".
"I think we have to find out what happened first", Trump told the Associated Press in an interview on Tuesday.
"They [Saudis] unfortunately didn't want us to search the residences last night on account of the fact that his family was inside", Cavusoglu told reporters. "The king firmly denied any knowledge of it", Trump said Monday. "Any suggestion that I have is just more FAKE NEWS (of which there is plenty)!"
But during a 2015 campaign stop, Trump boasted about his business dealings with the Saudis.
It's not clear whether the public will ever get any evidence of what happened beyond Saudi Arabia's word. "They buy apartments from me".
But they are unlikely to sanction any deal that would dilute their ownership and control of United. "I like them very much".
Turkish officials say they fear that Khashoggi, a prominent Saudi journalist who had been in living self-imposed exile in the United States, was killed and dismembered after he entered the consulate.