Trump's eldest daughter Ivanka Trump, who is a senior adviser to her father, ruled herself out of consideration in a Twitter post. He had said she would be "incredible" in the role and acknowledged he would be accused of nepotism if he nominated her.
Trump has said he wants Washington to stand by the Saudi government and the prince, despite a CIA assessment it was likely he ordered Khashoggi's killing. He promised to veto the war powers resolution.
Trump again dismissed the inquiry in comments to reporters.
Trump in June last year imposed tariffs of 25% on steel imports and 10% on imported aluminum from the EU. The EU responded with tariffs on about 2.8 billion euros' worth (.4 billion) of US steel, agricultural and other products, from Harley Davidson bikes to orange juice.
Trump drama takes spotlight away from pivotal debate for Democratic candidates
Trump, who reportedly said in private Wednesday that Cohen is a liar, held off from commenting publicly on the matter until Thursday, when he fired three tweets in the morning in an effort to distance himself from the case.
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Trip sets stage for enhanced Belt, Road cooperation
Tropical storm Tembin started lashing parts of Mindanao in the southern Philippines last Friday, triggering massive flash flooding and mudslides. According to reports, the storm has left more than 300 people dead or missing.
Trump's response came as media reports said Pentagon is drawing up plans to bring US troops home before the presidential election.
Trump's warning came hours after the Iraqi parliament on Sunday passed a draft law requiring the government to end the presence of foreign forces in Iraq, and prevent them from using Iraqi air, space and water.