By Fred Imbert and Silvia Amaro, CNBC–

Stock futures pointed to a Tuesday opening jump in early morning trade, building on a steep rebound in the previous session.

At around 5 a.m. ET, futures for the Dow Jones Industrial Average jumped 639 points, pointing to a gain of more than 569 points at Tuesday’s open. S&P 500 futures and Nasdaq futures also pointed to opening gains.

The moves came after a series of positive coronavirus developments were reported in Asia.

South Korea reported Tuesday less than 50 new cases of infection for the second day running. China also posted no new deaths as of April 6 for the first time since January when it started publishing daily updates.

The two Asian countries were among those which saw spikes in infection rates earlier in the outbreak, with the first cases being reported out of China.

Stocks surged on Monday as a slew of coronavirus headlines pointed to a potential stabilization in the U.S. The Dow soared 1,600 points, posting its third biggest point gain ever. The S&P 500 jumped 7% to its highest level since March 13. With Monday’s rally, the S&P 500 bounced about 20% from its 52-week low on March 23.

President Donald Trump said in a press conference Monday there’s “tremendous light at the end of the tunnel’ with ten different therapeutic agents in active trials. Trump echoed comments by World Health Organization officials who said the research to develop vaccines and treatments has “accelerated at incredible speed.”

“The apex in New York state is likely imminent as opposed to one month out,” Marko Kolanovic, JPMorgan’s global head of macro quantitative and derivatives strategy, said in a note on Monday. “Big data indicated very early on that social distancing is working overall.”

Amid Monday’s rally, Wall Street’s fear gauge the Cboe Volatility Index fell 3.3% to 45.24, the lowest level in about two weeks. Three weeks ago, the VIX hit a record high of 82.69, surpassing the peak level during the financial crisis.

Still, the cases in the U.S., the world’s most affected country, topped 347,000 with at least 10,000 deaths, according to data from Johns Hopkins University.

“We still believe that the odds are quite high that the lows from March will be retested and probably undercut before this bear market comes to an end,” Matt Maley, chief market strategist at Miller Tabak, said in a note on Monday.

Stocks are still in bear-market territory with the S&P 500 about 21.5% off its record high. Many on Wall Street believe stocks haven’t fully priced in the potential corporate earnings collapse as the coronavirus outbreak have virtually shut down the global economy.