If approved by the city council, the advisory commission's measure means a stretch of road going past the expansive embassy building in the upscale Foggy Bottom neighborhood would be ceremonially renamed "Jamal Khashoggi Way".
Middle East Eye previously reported that Khashoggi was dragged from the consul-general's office in the consulate onto the table of his study next door where it took seven minutes for him to be killed.
"He is, I think, on thinner ice than he would have expected to be. and has alienated many senior members of the royal family", says Robert Jordan, the USA ambassador to Saudi Arabia from 2001 to 2003.
May met leaders including the Canadian prime minister, Justin Trudeau, the Australian prime minister, Scott Morrison, and the Japanese prime minister, Shinzō Abe, all of whom expressed some scepticism about the state of her Brexit deal.
Erdogan also said Prince Mohammed had sent his chief prosecutor to Turkey to investigate the Khashoggi killing, but the prosecutor failed to share information with Turkey.
But the Turkish leader, also attending the G-20, was visibly cooler towards the 33-year-old prince and on Saturday directly criticised him for the first time over the killing of Khashoggi, a royal confidant turned critic.More news: Trump reaffirms second North Korea summit plan
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Saudi Arabia has charged 11 people with the murder, but there is no suggestion it is ready to send them to Turkey.
"They exchanged pleasantries at the leaders' session as he did with almost every leader in attendance", a senior White House official said.
Meanwhile Secretary of State Mike Pompeo has told CNN that he saw all the intelligence held by the U.S. on the killing and said there was no direct evidence linking Prince Mohammed to the murder.
Saudi Crown Prince Mohammed bin Salman resumed his Arab nations tour on Sunday with a two day state visit to Algeria. "[Jamal] believed that MBS is the issue and he said this kid should be stopped", Abdulaziz said in an interview with CNN.
They showed Khashoggi becoming progressively more fearful of the de facto leader of Saudi Arabia, known as MbS, even suspecting the conversations with Mr Abdulaziz had been hacked.
But Secretary of State Mike Pompeo met with his Saudi counterpart in Buenos Aires and again defended the USA embrace of the crown prince. Readouts of those meetings did not say whether Xi and Modi had confronted the prince over the Khashoggi case.