Turkish police investigating the case had said in a statement on Saturday that 15 Saudis, including several officials, had arrived in Istanbul on two planes and had entered the consulate while Khashoggi was inside.
Jamal Khashoggi entered a Saudi consulate in Istanbul to obtain official recognition that he's divorced his ex-wife.
"We are ready to welcome the Turkish government to go and search our premises", he said.
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".
Khashoggi fled Saudi Arabia and was living in self-imposed exile in the U.S. following a crackdown on intellectuals who criticized the rule of Crown Prince Mohammed bin Salman, a United States ally in the region.
Reuters also reported, however, that Otaibi said the consulate "was equipped with cameras, but they did not record footage, so no images could be retrieved of Khashoggi entering or leaving the consulate, which is ringed by police barriers and has high security fences topped with barbed wire".
A top Senate ally of President Donald Trump warned on Monday (Oct 8) of a "devastating" impact on the United States alliance with Saudi Arabia if allegations are confirmed that the kingdom killed a prominent journalist. UK, US, French and other Western companies sell Saudi Arabia arms and buy their oil.
Saudi officials say the allegations are baseless, although the journalist, 59-year-old Jamal Khashoggi, has not been seen for days.
Khashoggi went to the Saudi consulate on Tuesday to get documents for his forthcoming marriage.
Fears are growing over the fate of missing journalist Jamal Khashoggi after Turkish officials said they believe he was murdered inside the Saudi consulate.
Protesters gathered outside the Saudi consulate on Monday with banners reading "We will not leave without Jamal Khashoggi", demanding to know what had happened to him.
A former editor of the al-Watan newspaper and a short-lived Saudi TV news channel, Mr Khashoggi was for years seen as close to the Saudi royal family. Relations were already strained after Turkey sent troops to the Gulf state of Qatar previous year in a show of support after its Gulf neighbours, including Saudi Arabia, imposed an embargo on Doha.
'If this is true - that the Saudis lured a US resident into their consulate and murdered him - it should represent a fundamental break in our relationship with Saudi Arabia, ' Murphy wrote on Twitter. "We have nothing to hide", Prince Salman said in an interview published on Friday. Using the Washington Post platform, Mr. Khashoggi took the risky step of publicly calling out his government's continued policy blunders from the disastrous war in Yemen, the jailing of Saudi royals and business people in the Riyadh Ritz Carlton almost a year ago, the imprisonment of Saudi activists, from women's rights defenders to poets and intellectuals, to the overreaction to Canada's tweet supporting jailed Saudi human-rights activists.
But Ali Shihabi, director of the Washington-based Arabia Foundation, a pro-Saudi think-tank, urged the public not to jump to conclusions. Khashoggi had left his mobile phone with her, and told her to call Turkish authorities if he did not return. "To do otherwise would betray those who languish in prison".
Saudi Arabia, which ranks 169th out of 180 on RSF's World Press Freedom Index, has launched a modernisation campaign since Prince Mohammed's appointment as heir to the throne. "I can speak when so many cannot".