Such a meeting could take place in Washington or Beijing, though the timing is unclear, according to informed sources.
Farmers felt the pain when China targeted them with retaliatory tariffs, cutting off a major market for USA agriculture exports.
Sixty-four percent of companies that responded to the AmCham survey, which was conducted between August 29 and September 5, said the first round of tariffs that Trump slapped on $50 billion in Chinese imports this year have negatively affected their operations, while 63 percent said the same about the equal amount of duties Beijing imposed in retaliation. "And so, Secretary Mnuchin, who is the team leader with China, has apparently issued an invitation".
But he cautioned: "I guarantee nothing".
Trump said there was more pressure on China to make a deal, pointing to their shrinking economy.
The escalating trade spat between Washington and Beijing has generated turbulence in global markets.
Envoys from the two countries last met August 22 in Washington but reported no progress.
The Trump administration's $200 billion tariff list would hit a broad array of internet technology products and consumer goods from handbags to vacuum cleaners and bicycles to furniture.
U.S. President Donald Trump said last week that in addition to preparing tariffs on the further $200 billion worth of goods, he had tariffs on an additional $267 billion worth of goods ready "on short notice if I want".
"With the $200 billion round of tariffs looming, this is probably the best time for the U.S. to go back to the table with a "take it or leave it" type of trade demand", Robert Carnell, the chief Asia-Pacific economist at investment bank ING, said in a note.
Later on Thursday, China's foreign ministry welcomed the offer of talks and said the two countries were discussing details.
The negative impact of the tariffs on USA firms has been "clear and far-reaching", according to a joint survey by AmCham China and AmCham Shanghai.
Two-thirds of American companies that responded to a survey said they have suffered lost sales or lower profits due to that increase, two chambers of commerce reported Thursday.
The tweet appeared aimed at a Wall Street Journal report about Mr. Mnuchin's invitation.
More than 60 percent of US companies polled said the USA tariffs were already affecting their business operations, while a similar percentage said Chinese duties on US goods were having an impact on business.
Businesses are ratcheting up lobbying against tariffs that the Trump administration has imposed, or is considering.
US business groups are escalating their fight against Trump's tariffs, with over 60 industry groups launching a coalition to put political pressure on the Trump administration to seek alternatives to tariffs.
"Washington's overall attitude is still tough, but they do not reject a "talk and fight" strategy".
"China must hold the expectation that it is probably not the time when both sides can reach an agreement".