* Equities rally after strong earnings
* Fundamentals of supply and demand still weak
(Updates throughout, previous SINGPORE)
By Barbara Lewis
LONDON, July 21 (Reuters) - Oil edged above $64 a barrel on Tuesday, supported by climbing equities markets, but sapped by forecasts the next figures on U.S. supply and demand would show stocks of refined products have risen again.
By 0932 GMT, U.S. crude futures <CLc1> were trading three cents higher at $64.01 and Brent crude <LCOc1> was six cents weaker at $66.38. Tuesday's slim gains followed a 69 cent rise the previous session.
The front-month August U.S. contract expires at close of trade on Tuesday and will replaced by the September contract, which fell 20 cents to $65.09.
Expectations economic recovery was under way helped to drive oil to a peak above $73 a barrel at the end of June. Nervousness confidence was overdone pushed prices back below $60 last week.
Analysts were divided over whether any gains, inspired by what they describe as "exogenous factors", can be sustained in a fundamentally oversupplied market.
"The market is see-sawing based on people's perception of the U.S. economy -- they don't really know if the recovery is durable, and they are trading based on available data that offers clues on the outlook," said Tony Nunan, risk manager at Mitsubishi Corp in Tokyo.
"But short-term fundamentals do not look strong because inventories remain high, so we're going to be stuck in the $60s to $70s range for a while."
The MSCI world equity index <.MIWD00000PUS> rose 0.5 percent to levels close to the peak set in June, which was the highest since last October.
"As long as the equities are gaining on the belief that the worst is over, then it also translates into higher consumer confidence, higher disposable income through the equity pick-up and that ultimately impacts demand," said Olivier Jakob of Petromatrix.
In the near term, demand has stayed weak even though the U.S. driving season, traditionally a time of peak demand, is near its height.
Weekly U.S. inventory data released at 2030 GMT on Tuesday and 1430 GMT on Wednesday will provide the next supply and demand snapshot.
Analysts have predicted a drop in overall fuel stocks, but a rise in stocks of refined products, including gasoline and diesel. [
]Inventories in industrialised countries equated to 62.5 days of forward cover at the end of May, according to the latest figures from the International Energy Agency -- around 10 days more than the Organization of the Petroleum Exporting Countries considers comfortable.
Algerian Energy and Mines Minister Chakib Khelil on Monday predicted prices would stay in a $65-$70 dollar range this year as long as the market remained oversupplied and said OPEC could cut output when it next meets in September if there was not enough demand for its crude. [
]Many analysts predict Asia will lead any demand recovery.
A slower rate of decline in domestic fuel sales has implied demand in China, the world's second biggest oil user after the United States, was strengthening.
Sinopec Corp's domestic sales of refined oil products fell by 4.8 percent from a year earlier to about 31.28 million tonnes in the past three months, a Reuters calculation showed, compared with a 12.4-percent drop in the first quarter. [
]Demand in the United States is expected to stagnate.
For the next pointers to the economic recovery that could revive it, traders will be looking to Federal Reserve Chairman Ben Bernanke's semi-annual testimony on the U.S. economic outlook and monetary policy at 1400 GMT.
(additional reporting by Jennifer Tan)