Erdogan told reporters that authorities were looking into all camera records and monitoring incoming and outgoing airport transits, but added that Turkey would await the results of the prosecutor's investigation before going into more detail.
Turkish police believe Jamal Khashoggi, a Saudi journalist and one of the most prominent critics of Crown Prince Mohammed bin Salman, was killed at the consulate of Saudi Arabia in Istanbul, agencies report.
"God willing we will not be faced with a situation we do not want".
"I have raised Jamal's disappearance personally with the Saudi ambassador, and while we await more information, know we will respond accordingly to any state that targets journalists overseas", Corker wrote on Twitter.
Khashoggi, a former newspaper editor in Saudi Arabia and adviser to its former head of intelligence, left the country a year ago saying he feared retribution for his growing criticism of Saudi policy in the Yemen war and its crackdown on dissent.
A Turkish official told the AP late Saturday that an "initial assessment" by police concluded Khashoggi had been killed at the consulate.
According to The Washington Post, where Khashoggi was a contributor, he visited the Saudi consulate in Istanbul last week to get a document for his upcoming wedding.
His disappearance has threatened to upend already-fraught relations between Saudi Arabia and Turkey.
On Tuesday, he entered the Saudi consulate in Istanbul to get documents for his forthcoming marriage. Mr Al Otaibi said: "I would like to confirm that Jamal is not at the consulate nor in the Kingdom of Saudi Arabia, and the consulate and the embassy are working to search for him".
Saudi journalist Jamal Khashoggi in 2015.
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The New York Times account says its sources report the Saudis "had arrived to silence Mr. Khashoggi, but that it was not clear if the plan had been to bring him back to Saudi Arabia alive, and something went wrong, or if the intention was to kill him there".
The official quoted by SPA underlined that Saudi Arabia was responsible for the safety and well-being of all its citizens, wherever they may be, and that its authorities "are diligently following up on this matter to uncover the complete facts". Saudi officials have denied the murder claims, insisting they are unaware of Khashoggi's whereabouts. "The consulate officials can not save themselves by simply saying, 'He has left, '" Erdogan said on a visit to Budapest. "We hope this has not now spread overseas". "Now it's unbearable", read the headline for one of his articles. Turkish investigators said they believe Khashoggi was killed and dismembered by a team of 15 Saudi agents.
Reacting to the news, the journalist's Turkish fiancee, Hatice Cengiz, said on Twitter she was "waiting for an official confirmation from the Turkish government to believe it".
Turkish officials told Reuters news agency over the weekend that they believed Khashoggi had been killed inside the consulate, allegations Saudi Arabia rejects.
"He said they were really good; there are just ordinary Saudis and the ordinary Saudis are good people; they don't necessarily agree with the policies of Crown Prince Mohammed bin Salman".
The crown prince has unveiled reforms praised by the West while carrying out an apparent crackdown on dissent.
But since the emergence of Prince Mohammed, 33, as the centre of power in the kingdom previous year, Khashoggi has been openly critical of the monarchy.
The secretary of state, Mike Pompeo, was last month reported to have overruled his own top advisers to approve the continued supply of arms to Saudi Arabia for its campaign in Yemen, despite the high civilian death toll from aerial bombardment.
Turkish President Tayyip Erdogan, whose AK Party is rooted in political Islam, also supported a government in Egypt led by the Muslim Brotherhood, which Saudi Arabia has designated a terrorist movement. "The free world deserves answers".