Miss Cengiz said Mr Khashoggi had not wanted to go to the Saudi consulate but "he thought Turkey is a safe country and, if he would be held or interrogated, this issue would be swiftly solved".
Sheikh Khalid bin Ahmed also said that a proposed regional security alliance bringing together the United States, Gulf allies, Egypt and Jordan would be "open to those who accept its principles". The kingdom's chief prosecutor said Thursday that the murder was premeditated.
After denying knowledge of Khashoggi's whereabouts for almost three weeks, Riyadh admitted Khashoggi's murder had been "premeditated" but denied the involvement of the kingdom's powerful Crown Prince Mohammed bin Salman. "Failure of any one nation to adhere to global norms and the rule of law undermines regional stability at a time when it is needed most".
However UN expert Agnes Callamard said Thursday that Khashoggi was the victim of an "extrajudicial execution" committed by the Saudi state.
Riyadh later updated its version of events to say that evidence from Turkish investigators indicated that the killing had been premeditated, but maintained that his body had been wrapped in a rug and disposed of by an unnamed "local collaborator".
The announcement contradicted an earlier Saudi assertion that rogue officials from the kingdom had killed Khashoggi by mistake in a brawl inside their Istanbul consulate.
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An official in Washington said US Secretary of State Mike Pompeo had "raised the safety and security of the Khashoggi family members with the Saudi leadership", but declined to discuss the specifics of Salah's travel.
In her interview with the Turkish broadcaster, Cengiz said Trump has invited her to visit the White House, but said she would not go until the USA was honest in its efforts to uncover the truth behind Khashoggi's killing.
Hatice Cengiz told Turkish news channel HaberTurk that she kept asking herself if she had missed signs of Khashoggi's impending fate and whether she should have prevented her fiance from entering the Saudi Consulate in Istanbul on October 2.
Khashoggi, a Washington Post columnist who has written critically of the kingdom's leadership, went missing after entering a Saudi consulate in Istanbul on October 2.
Ms Cengiz said Mr Khashoggi was concerned tensions would arise when he visited the consulate for the first time on Sept 28, but he was treated well at that visit, which appeared to reassure him, she said.
"But he said he didn't", she says.
One week after the Saudis admitted culpability for his death, the U.S.is weighing further action against its partner, despite its importance to the Trump administration's foreign policy.
Saudi state media reported that Salah and his family expressed "great thanks" to King Salman and the Crown Prince, the man who may have ordered his father's death.