US S&P500 futures lost more than 3%, a day after the S&P 500 lost 4.89%, putting the index in a bear market territory, defined as a 20% fall from a recent top.
Euro Stoxx 50 futures dived more than 5% to their lowest levels since mid-2016. MSCI's broadest index of Asia-Pacific shares outside Japan dropped 2% to its lowest level since early 2019, while Japan's Nikkei lost 3.3%.
- Trump bans travel between US and Europe
- NBA suspends season
- Tom Hanks and wife Rita Wilson test positive for coronavirus
Australia's benchmark dived 3.7% while South Korea's Kospi fell 2.7% to a four-year low.
Trump announced on Wednesday (US time) the United States will suspend all travel from Europe, except from the United Kingdom, to the United States for 30 days starting on Friday.
He also announced some other steps, including instructing the Treasury Department to defer tax payments for entities hit by the virus.
But investors were hardly convinced those measures will turn around the global economy as concerns grew that the number of infections could quickly snowball in many countries.
"In many European countries, the number of patients are increasing in a track similar to Italy. The US appears to be following that path. It now looks realistic to expect, within 10 days, those countries could have more than ten thousands patients."
Safe-haven assets were back in favour, though many of them were still below recent peaks, which some market players suspect reflects a desperate bout of profit-taking to make up for losses suffered elsewhere.
Gold edged up 0.5% to $1,642.5 per ounce but still stood well below Monday's high above $1,700.
The 10-year US Treasuries yield fell 8.7 basis points to 0.737%, though it is still more than 40 basis points above a record low of 0.318% touched on Monday. Some analysts say the rise could reflect worries about an increase in government spending for stimulus.
The two-year yield fell 4 basis points to 0.458%, but stood well above Monday's low of 0.251%.
Fed fund rate futures, however, are still pricing in a rate cut of at least 0.75 percentage points and about a 50% chance of a 1.0 percentage point cut at a policy review on March 17-18.
"The initial reaction in financial markets shows that even after Trump spoke investors feel they need to avoid risk" said Junichi Ishikawa, senior currency strategist at IG Securities in Tokyo.
"Trump has outlined what he considered to be tough measures, but movements in stocks, stock futures, and currencies show that this is not enough to ease investors' concerns. We are in a very difficult situation now."
Oil prices extended losses as they were also hit by renewed weakness in the stock market and as Saudi Arabia and the United Arab Emirates announced plans to escalate the burgeoning price war.
US West Texas Intermediate (WTI) crude last traded up slightly at $32.14 per barrel, down 2.5%.
In the currency market, the dollar slid against the safe-haven yen and the Swiss franc.
The US currency fell 0.7% to 103.64 yen and lost 0.5% to 0.9333 franc.
The euro traded at $1.1272, flirting with its lowest level in a week, ahead of the European Central Bank's policy meeting later in the day.
The ECB is all but certain to unveil new stimulus measures, including new, ultra-cheap loans for banks to pass onto small and medium-sized firms.
Markets have priced in a 10 basis point cut to its already record low minus 0.50% policy rate though many policymakers have said further cuts could be counterproductive because they hurt bank margins to the point of thwarting lending
