US stocks gyrated Tuesday as markets grappled with the latest figures on the coronavirus outbreak, while oil prices tumbled in a volatile session ahead of key talks by petroleum producers.

After a torrid Monday rally in New York that boosted European and Asian markets on Tuesday, Wall Street appeared poised for a second straight positive session, with the Dow piling on almost 1,000 points at its session peak.

But the rally soon faded. The coronavirus crisis has forced markets to try to wade through a series of conflicting data on the course of the disease in recognition that the economy will only be able to return to normal once the virus is under control.

Investors were cheered by data showing New York's three-day average of hospitalizations had gone down, and some improved data points out of Italy and other hotspots.

But elsewhere the virus remains very much an untamed threat. Japan, for example, declared a month-long state of emergency over a spike in coronavirus cases.

In the end, major US indices all finished in the red, with the Dow slipping 0.1 percent.

"While today's reversal was not pretty, safe-haven assets remained weak, and despite the last-minute plunge the major indices held up to most of their gains from yesterday," said Gorilla Trades strategist Ken Berman.

"Yesterday's short-covering rally ran out of steam this afternoon, but there was no sign of panic on the Street, even as the grim economic outlook weighed on sentiment in the second half of the day."

Gregori Volokhine of Meeschaert Financial Services said investors have been encouraged by the muscular response of policy makers in Washington and beyond to try to protect the economy from the worst devastation of the COVID-19 shutdowns.

US Treasury Secretary Steven Mnuchin said Tuesday he is asking Congress to reinforce a new small business loan program that has been overwhelmed with applications, requesting another $250 billion for the program originally funded with $349 billion.

In other markets, oil prices finished sharply lower ahead of a heavily anticipated Thursday summit of major oil producers.

Ten oil-producing nations from outside the OPEC+ alliance including the United States have been invited to a meeting aimed at reaching an agreement to reduce oversupply, Russian news agency TASS reported Tuesday.

During a meeting to be held via video conference on Thursday, OPEC and its allies will discuss oil production cuts.

Anticipation of a resolution to a bitter fight between Saudi Arabia and Russia boosted oil prices late last week. But oil has fallen over the last two days, in part because of concerns about a weakening demand outlook due to the coronavirus.

Looking for things to be optimistic about
Looking for things to be optimistic about AFP / Daniel ROLAND

New York - Dow: DOWN 0.1 percent at 22,653.86 (close)

New York - S&P 500: DOWN 0.2 percent at 2,659.41 (close)

New York - Nasdaq: DOWN 0.3 percent 7,887.26 (close)

London - FTSE 100: UP 2.1 percent at 5,704.45 (close)

Frankfurt - DAX 30: UP 2.8 percent at 10,356.70 (close)

Paris - CAC 40: UP 2.2 percent at 4,438.27 (close)

EURO STOXX 50: UP 2.2 percent at 2,857.67 (close)

Tokyo - Nikkei 225: UP 2.0 percent at 18,950.18 (close)

Hong Kong - Hang Seng: UP 2.1 percent at 24,253.29 (close)

Shanghai - Composite: UP 2.1 percent at 2,820.76 (close)

Brent North Sea crude: DOWN 3.6 percent at $31.87 per barrel

West Texas Intermediate: DOWN 9.4 percent at $23.63 per barrel

Euro/dollar: UP at $1.0890 from $1.0793 at 2100 GMT

Dollar/yen: DOWN at 108.83 yen from 109.22

Pound/dollar: UP at $1.2334 from $1.2231