(NEW YORK) — U.S. stocks rose on Tuesday in a burst of investor optimism as the Trump administration signaled plans to negotiate with some countries targeted by sweeping new tariffs.

The Dow Jones Industrial Average jumped 1,385 points, or 3.6%, while the tech-heavy Nasdaq increased 3.7%. The S&P 500 was up 3.3%.

The move followed an upswing in markets worldwide.

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Asian markets opened in positive territory after posting significant losses on Monday driven by President Donald Trump’s global tariffs campaign,

Japan’s Nikkei index closed just over 6% up on Tuesday, recovering some of almost 8% of losses posted on Monday.

South Korea’s KOSPI index rose by 0.3%, Australia’s S&P/ASX 200 grew by 2.2% and India’s NIFTY 50 index climbed almost 2%.

Hong Kong’s Hang Seng index — which on Monday posted its worst day since 1997 losing 13% — rebounded with a 1% rise on Tuesday. Shanghai’s Composite Index grew 1.4%.

European markets also edged into the green after a tumultuous start to the week. The British FTSE 100 picked up 1.3% shortly after opening, Germany’s DAX gained 0.9% and France’s CAC 40 rose 1.3%.

Monday’s rollercoaster trading saw the Dow post its largest intraday point swing ever — falling more than 1,700 points during its Monday session low, then swinging up 2,595 points from the low.

The Dow dropped 349 points, or 0.91%, while the tech-heavy Nasdaq ticked up 0.1%. The S&P 500 closed down 0.23%. Its 8.5% high/low spread has only happened 20 other times since 1962, according to S&P Global.

The S&P 500 briefly entered bear market territory during the session but was last off nearly 18% from its recent high.

ABC News’ Max Zahn and Joe Simonetti contributed to this report.

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