Xi and Trump are set to meet this month at a gathering of the Group of 20 major economies in Argentina.
But this time the comments came after China put forward a new list of issues for negotiation ahead of the G20 summit, which the US President described as a "pretty complete list".
"We certainly won't have a full formal deal by January. Not Wall Street terms", Navarro said.
It was unclear if the response contained concessions that would satisfy Trump's demands.
A US team led by Treasury Under Secretary David Malpass discussed trade issues with a Chinese team via videoconference on Tuesday, a US Treasury spokesperson said on Wednesday.
The Chinese government earlier this week made an initial offer on trade, which Trump said addressed 142 negotiating points.
The Trump administration hiked tariffs on $250 billion of Chinese goods over complaints Beijing steals or pressures foreign companies to hand over technology as the price of market access.
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David Hockney's " Portrait of an Artist [Pool with Two Figures]" fetched $90.3 million at Christies on Thursday, Nov. 15, 2018. The painting, whose buyer was not immediately revealed, had been long held by a private collector.
But soon after the report, the office of the US Trade Representative denied the reporting, saying that "Ambassador Lighthizer has made no representations to industry executives that future Section 301 tariffs are on hold".
Trump trade advisor Peter Navarro, a staunch advocate of tariffs, was publicly sidelined this week - for the second time in his tenure with the Trump administration - after claiming in a speech on Friday that Trump was committed to a hard line with Beijing.
"As a senior career member of our intelligence community recently told me, what the Russians are doing pales in comparison to what China is doing across this country", Pence said in early October.
Asked what would happen if Beijing fails to agree to act in Asia in a way that can avoid "a new Cold War" with the United States, Pence appeared to accept that such a reality could be inevitable. He has often pointed to alleged currency manipulation, arguing that Beijing's policies hurt the USA financially.
Mr Pence said: "We seek an Indo-Pacific where every nation is free to follow its own path and pursue its own interests, where the seas and skies are open to all engaged in peaceful activity, and where sovereign nations grow stronger together".
"High-level contacts between the two sides on economics and trade have resumed following the November 1 conversation between the Chinese and American heads of state", said Gao.