On Wednesday, the United States reported its goods trade deficit with China surged to an all-time high previous year, underlining one of the key sticking points.
"It is historic, it is written down, it was agreed to by the Chinese who were here two weeks ago, but it has to pass through the political filter of President Xi and the politburo", Kudlow said. "China must not be allowed to pursue policies that run directly counter to America's national interest and their global commitments without facing due consequences", Rubio said.
An end to the months-long US-China trade dispute would help China's hurting exporters - shipments to the US fell about 29 percent last month.
Advances in talks drove the White House to indefinitely delay hikes in tariffs on $200 billion worth of Chinese imports that were set to kick in on March 2.
He said Trump was determined to push for a comprehensive deal that addressed structural issues with China's policies.
"Now, the economic and trade teams of the two sides are making full efforts to communicate and negotiate in order to reach an agreement in line with the principles and directions decided by the two heads of states", he added.
He credited Trump's tough negotiating strategy and "aggressive tariffs" for bringing Beijing to the negotiating table.
"China is set to have a hard time on trade, because on the US front there is the trade war, and on the European Union front the economy is really weakening", said Tommy Xie, an economist at Oversea-Chinese Banking Corp.in Singapore.
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The demonstrators took to the streets united by the "if we stop, the world stops" slogan. Over the next few years, more countries in Europe marked the holiday on March 8.
"Vice Premier Liu ate a beef burger, and Lighthizer ate eggplant and chicken (with rice)", Wang said.
"Let me stress here that we will never use the exchange rate for the goal of competition, nor will we use the exchange rate to increase China's exports or as a tool in handling trade frictions", said Yi.
"Throughout the consultation process, there was coffee and tea. but both drank plain water".
The more cautious tone, coupled with weak Chinese trade data showing plummeting exports and imports, sent global stock markets falling.
"This was to find common ground", he added.
"To decouple from China is to decouple from opportunities, decouple from the future, and in a sense, to decouple from the world", Wang said at a news conference in Beijing.
Last month the US President had said that he and his Chinese counterpart Xi Jinping are planning to meet at his Florida resort in Mar-a-Lago to give a final shape to the trade deal, which is being negotiated between the two countries for past several months now.