The remarks helped deepen losses on Wall Street, which opened lower on Thursday following downbeat economic forecasts for major European economies.
But top White House economist Larry Kudlow told Fox Business on Thursday that "No date has been set, no time, no place, no nothing at the moment."
And while Trump was "optimistic" about prospects for a deal, there remains a "sizeable distance" separating the two sides, Kudlow said.
The benchmark Dow Jones Industrial Average lost more than 300 points following Kudlow's remarks and shortly before 1730 GMT was down 1.3 per cent for the day at 25,075.31.
Last week, Trump and Chinese officials had expressed optimism during the second round of talks in Washington about chances of striking a bargain but they released few details about progress in their talks.
The two sides have three weeks before US duty rates on many Chinese goods are due to jump sharply, which economists say could further weaken the global economy.
CNBC also reported Thursday that an unnamed senior administration official said it was "highly unlikely" a Trump-Xi meeting could occur before the March 1 tariffs deadline but could happen "shortly thereafter."
US Trade Representative Robert Lighthizer and Treasury Secretary Steven Mnuchin are due to travel to China next week to continue for the third round of trade negotiations.
Washington is demanding far-reaching changes to Chinese industrial policy, which American officials allege involves the theft of American intellectual property and massive market distortions through subsidies and other measures.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)