US Defense Secretary Jim Mattis said on Saturday that the killing of Saudi journalist Jamal Khashoggi undermined Middle Eastern stability and that Washington would take additional measures against those responsible.
While Cengiz says she may still consider an invitation, she declined so far because of Trump's tone, saying she doubted his sincerity and viewed his invitation more as a way to win favor with the USA public.
A senior Turkish official said that Turkey was requesting the extradition because Khashoggi was murdered by Saudis who traveled to Turkey, and because it was "clear that the judicial system in Turkey is better equipped to genuinely serve the cause of justice in this case". She said everyone involved, "from the highest to the lowest level", should be punished.
He added that he will continue to consult with U.S. President Donald Trump and Pompeo as they consider the broader implications of the matter.
Saudi Arabia will not extradite suspects in the killing of journalist Jamal Khashoggi in the kingdom's Istanbul consulate, the Saudi foreign minister said.
Saudi Arabia will prosecute the suspects in the murder of journalist Jamal Khashoggi, Saudi Arabia's Foreign Minister Adel al Jubeir says, in response to a call by Turkey for their extradition.
Al-Jubeir said critics should wait for the Saudi investigation to publish its conclusions rather than blaming the kingdom "from the get-go".
Saudi Attorney General Saud al-Mojeb said investigators came to that conclusion after evidence presented by Turkish officials as part of the two nations' probe into the killing.
Oman offers help in Palestinian-Israeli peace efforts
Both leaders met with Oman's Sultan Qaboos bin Said, 77, who rose to power after overthrowing his father in 1970. A Wikileaks cable from 2010 reported that Gulf states believed they could "count on Israel against Iran".
US and foreign officials say such an operation - involving a team of Saudi agents - was unlikely to have taken place without the knowledge of the kingdom's leaders, including ambitious Crown Prince Mohammed bin Salman.
Mr Trump also said Riyadh had staged the "worst cover-up ever" over the killing.
"This issue has become fairly hysterical", Jubeir said.
Several hours after their arrival, State Department deputy spokesman Robert Palladino disclosed that Pompeo told Saudi leaders in Riyadh earlier this month that "he wanted Salah Khashoggi returned to the United States".
Khashoggi, who was a Washington Post columnist, had once been close to Saudi Arabia's royal family but had grown increasingly critical of the kingdom's human rights abuses in recent years. Key mysteries remaining include whether the killing was carried out with the knowledge of the crown prince, who denies it, and the location of Khashoggi's body. If that is the case, then who is the local conspirator?
How Western allies deal with Riyadh will hinge on the extent to which they believe responsibility for Khashoggi's death lies directly with Prince Mohammed and the Saudi authorities.
On October 25, Prince Mohammed attended the first meeting of a committee aiming to restructure the kingdom's intelligence services after the killing of Khashoggi, the state-run Saudi Press Agency said.
"You see, an important Saudi official uses an expression ... and we say it's now evident that he is killed, but where is it (the body)?"