Turkish Foreign Minister Mevlut Cavusoglu has said Pompeo would provide information about the case after Khashoggi, a U.S. resident, vanished during a visit to the consulate on October 2 to collect marriage documents.
The Saudis promised the Trump administration $100 million to help the United States' efforts in Syria this summer - and in a suspicious turn of events, that money was suddenly deposited in US bank accounts as Secretary of State Mike Pompeo landed in Riyadh for what would be a discordantly friendly meeting with Saudi officials about their alleged murder of journalist Jamal Khashoggi.
Earlier on Tuesday Police claimed to have found "certain evidence" that Khashoggi was killed inside the consulate, before the Saudi consul made a sudden departure from a Turkish airport.
However, unconfirmed reports in the United States media suggest Saudi Arabia is preparing to admit that Mr Khashoggi died as a result of an interrogation that went wrong and that the original intention had been to abduct him.
The statement did not refer to the disappearance of Khashoggi after his visit to the Saudi consulate in Istanbul on October 2 to receive documents ahead of his wedding. The Washington Post columnist was not observed leaving the building, and the USA media have cited anonymous Turkish sources to report that he was murdered and dismembered inside. He was last seen entering the Saudi consulate in Istanbul where he went to receive papers he needed to remarry.
Some US media reports said that Saudi Arabia is planning to come out with a report in which it is expected to say that the interrogation of Khashoggi went wrong and was killed in the process. Trump has speculated without providing evidence that "rogue killers" could be responsible. "We are grateful to all those who have respected our privacy during these hard times", the statement said.
The Kingdom is attempting to distance Crown Prince Mohammed bin Salman from the murder by saying it was "unintentional"-the result of a "botched operation" by rogue Saudi agents".
The Saudi consul left Turkey for the Saudi capital Riyadh Tuesday just hours after Turkish officials said they wanted to search his residence and the consulate's fleet of vehicles, Ankara's Foreign Ministry said.
U.S. secretary of state Mike Pompeo is in Turkey for talks following a meeting with the Saudi king and the crown prince on Tuesday.
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US Secretary of State Mike Pompeo has been meeting King Salman in Riyadh.
Mr Erdogan has previously suggested parts of the consulate had been repainted since the disappearance of the journalist, who was a critic of the Saudi regime.
"Here we go again with, you know, you're guilty until proven innocent", Trump told The Associated Press. Democratic lawmakers criticized Trump for using the term "rogue killers". President Trump is also correct when he says thousands of USA jobs would be lost, with China and Russian Federation to be among those lining up to replace them.
A Turkish diplomatic source had earlier said a joint Turkish-Saudi team would search the building - the last place Khashoggi was seen before he vanished on October 2.
The secretary of state noted that the Saudi leaders, while denying knowledge of anything that occurred inside the consulate, had committed to accountability "including for Saudi Arabia's senior leaders or senior officials".
United States lawmakers have been demanding scrapping of the Dollars 110 billion mega defence deal with Riyadh, whereas heads of several companies, CEOs, newspapers have announced not to attend an upcoming finance conference in Saudi Arabia.
"The king has ordered the public prosecutor to open an internal investigation into the Khashoggi matter based on the information from the joint team in Istanbul", an official quoted by Reuters news agency said.