A statement by the ministry said that the search will be carried out as part of the ongoing investigation by Turkish authorities regarding Khashoggi's fate.
The image released on Tuesday bore a date and date stamp. "We called a few other places, these are lower officials, but they said: 'We have evidence he was killed in a barbaric way, we will announce it tomorrow or the day after"'.
Protesters hold a portrait of missing journalist and Riyadh critic Jamal Khashoggi reading "Jamal Khashoggi is missing since October 2" during a demonstration in front of the Saudi Arabian consulate on October 9, 2018 in Istanbul.
Although the location has been confirmed to be correct, definitive confirmation of the picture to show Khashoggi on the day of his disappearance has not been provided yet.
Prince Khalid said: "Jamal has many friends in the Kingdom, including myself, and despite our differences, and his choice to go into his so called "self-exile", we still maintained regular contact when he was in Washington". He claimed that Khashoggi had left the building not long after he entered earlier this week.
"The premises are sovereign territory, but we will allow them to enter and search and do whatever they want to do". It has also raised tensions between regional rivals, Turkey and Saudi Arabia.
It would also put Britain directly at odds with the crown prince, who is a key United Kingdom ally.
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Over the past year, he has written columns for newspapers including the Washington Post criticising Saudi policies towards Qatar and Canada, the war in Yemen and a crackdown on dissent which has seen dozens of people detained. State Department senior officials have spoken with the Kingdom of Saudi Arabia through diplomatic channels about this matter.
A security team including Saudi investigators had arrived in Istanbul Saturday to investigate the mysterious disappearance of Khashoggi as reported by Reuters.
Turkish President Recep Tayyip Erdogan has said that Saudi officials must prove that Khashoggi had indeed left the mission.
"He entered the general consulate himself, and if he has entered by himself and if he did not exit it, of course this should be proven by the general consulate", Erdogan said at a news conference in Budapest. "We believe that the murder was premeditated and the body was subsequently moved out of the consulate", one Turkish official told Reuters. Then why do you not prove this?
Turkey's foreign ministry on Wednesday summoned Saudi Arabia's ambassador over the issue. "I do not like it", Trump told reporters at the White House on Monday.
There was no immediate comment on the report from the Saudi authorities.
The president made Riyadh the destination of his first foreign trip and backed the Saudi royals wholeheartedly in their stand-off with the Qataris. Also, Ankara has continued to encourage Saudi investments in Turkey, with the Saudis eyeing especially the real estate sector.
"The United States must now make a concerted effort to determine all the facts about Mr Khashoggi's disappearance", the Post said in an editorial, imploring Washington to "demand answers, loud and clear".