New York (CNN Business) Markets are rallying ahead of Wednesday's open on hopes for a resolution in the US-China trade war. But trade tensions remain a major source of anxiety for investors.

US stocks were up all day Tuesday after President Donald Trump tweeted that he had a "very good" discussion with China's President Xi Jinping, and would meet with him next week at the G20 summit in Japan.

Dow INDU S&P 500 SPX Nasdaq Composite COMP After the markets closed, futures continued to climb when Trump told reporters that talks between the United States and China would start on Wednesday.and futures were up about 0.05% late Tuesday evening. Meanwhile, futures were up around 0.07%.

"Frankly our people are starting to deal as of tomorrow, the team is starting to deal," Trump said at the White House. "China would like to make the deal. We would like to make the deal, but it has to be a good deal for everybody."

Stocks were helped Tuesday by other news, too, including the possibility that the European Central Bank could inject the eurozone with an economic stimulus, along with Wall Street expectations for an eventual interest rate cut by the US Federal Reserve.

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