Global equities were mixed Monday as markets weigh hopes about economic restarts against worries over coronavirus cases, including signs of "second wave" outbreaks in Asia.

France and Spain took new steps to ease lockdowns, along with more US states, some of which moved over the weekend to permit additional activity.

But after more than a month without reporting any new cases, Wuhan, the central Chinese city where the outbreak first emerged, reports five new infections, on top of one announced on Sunday.

And neighbouring South Korea announced its highest number of infections for more than a month driven by a cluster in a Seoul nightlife district.

"Fears of a second wave are already emerging in South Korea, China and maybe even Germany which should be a lesson to those countries preparing for looser restrictions," said Craig Erlam, an analyst at OANDA.

In the US, the trends have improved significantly in New York city and some other initial hotpots, but the record elsewhere is mixed. The country now leads the world in fatalities with 80,000.

There is expected to be some increase in COVID-19 cases in Georgia, Texas and other US states that have moved more quickly to resume activity, but officials hope any increase will be manageable and will not require restrictions to be revived.

"Investors continue to look past the current state of the economy and toward the prospects of activity resuming," said TD Ameritrade Institutional's trading specialist Mike Turvey.

In other markets, oil prices fell after surging last week on hopes for a pick-up in demand.

The move came despite an announcement that Saudi Arabia had asked oil giant Aramco to cut its output by an additional one million barrels per day from June, to support prices that have crashed during the coronavirus crisis.

The latest Saudi move is "a reflection of the continued supply-overhang due to risk of a lackluster demand recovery," said Rystad Energy's Senior Oil Markets analyst Paola Rodriguez Masiu.

The extra Saudi "cut will not re-balance the market, but will surely remove strain from the storage infrastructure and buy time to wait for the demand rebound," Masiu said.

New York - Dow: DOWN 0.5 percent at 24,221.99 (close)

Shanghai Disneyland reopened Monday in the latest easing of lockdown measures in China, though there are worries about a possible second wave after fresh cases of COVID-19 were announced in other parts of the country
Shanghai Disneyland reopened Monday in the latest easing of lockdown measures in China, though there are worries about a possible second wave after fresh cases of COVID-19 were announced in other parts of the country AFP / Hector RETAMAL

New York - S&P 500: FLAT at 2,930.19 (close)

New York - Nasdaq: UP 0.8 percent at 9,192.34 (close)

London - FTSE 100: UP 0.1 percent at 5,939.73 (close)

Frankfurt - DAX 30: DOWN 0.7 percent at 10,824.99 (close)

Paris - CAC 40: DOWN 1.3 percent at 4,490.22 (close)

EURO STOXX 50: DOWN 0.8 percent at 2,883.75 (close)

Tokyo - Nikkei 225: UP 1.1 percent at 20,390.66 (close)

Hong Kong - Hang Seng: UP 1.5 percent at 24,602.06 (close)

Shanghai - Composite: FLAT at 2,894.80 (close)

West Texas Intermediate: DOWN 2.4 percent at $24.14 per barrel

Brent North Sea crude: DOWN 3.5 percent at $29.60

Euro/dollar: DOWN at $1.0817 from $1.0839 at 2100 GMT on Friday

Dollar/yen: UP at 107.65 yen from 106.65 yen

Pound/dollar: DOWN at $1.2337 from $1.2410