(Recasts throughout, changes dateline from previous LONDON)
* Oil drops to lowest since Nov before rebounding on OPEC cut talk
* Safe-haven bonds, yen and gold stable after safe-haven pull
* Euro hovers at highest since Nov ahead of French election
* U.S. non-farm payrolls beats expectations, 211,000 jobs added
NEW YORK, May 5 (Reuters) - Crude oil bounced back from its lowest level since November on the likelihood that key producers could extend output cuts beyond an agreed-on June deadline, while a global stocks index set a fresh record high as corporate earnings remained strong.
Markets were rattled overnight as crude stumbled further, its weekly decline close to 10 percent at one point, but comments from Saudi Arabia's OPEC governor helped put a floor under oil prices.
"There's an emerging consensus among participating countries on the need to extend the production agreement reached last year," Adeeb Al-Aama told Reuters.
OPEC, Russia and other producers have agreed to curb production by 1.8 million barrels per day until June 30. OPEC ministers next meet on May 25.
Better-than-expected U.S. non-farm payrolls data showed jobs growth rebounded sharply last month with 211,000 added and the national unemployment rate down to near a 10-year low of 4.4 percent.
On Wall Street, the energy sector of the S&P 500 was posting its strongest daily showing since late March while the benchmark S&P, despite the strong payrolls report, remained in the tight range it has kept over the past two weeks.
"OPEC is going to continue the cuts. The question is, is that enough to keep oil prices at a level that is good for business and for producers?" said Quincy Krosby, market strategist at Prudential Financial in Newark, New Jersey.
"Today it has helped to the overall turn on the markets."
The Dow Jones Industrial Average fell 9.72 points, or 0.05 percent, to 20,941.75, the S&P 500 gained 3.08 points, or 0.13 percent, to 2,392.6 and the Nasdaq Composite added 5.07 points, or 0.08 percent, to 6,080.41.
The pan-European FTSEurofirst 300 index rose 0.61 percent and MSCI's gauge of stocks across the globe gained 0.31 percent.
Emerging market stocks lost 0.27 percent. Overnight, MSCI's broadest index of Asia-Pacific shares outside Japan closed 0.66 percent lower.
Both Brent and U.S. crude fell almost 4 percent overnight on mounting concerns about oversupply. But by late morning trading in New York, weekly declines of close to 10 percent were all but halved.
Concerns over a slowdown in China have hit other commodities this week, with Chinese iron ore futures down more than 10 percent this week's low and copper touching its lowest since January.
Prudential's Krosby said the slide in commodities would not necessarily drag other markets lower "as long as you accept the thesis that it is all about supply."
"But if you add a slowdown in China," she said, "it becomes a demand story.
U.S. crude rose 1.89 percent to $46.38 per barrel and Brent was last at $49.26, up 1.82 percent on the day.
Copper rose 0.76 percent to $5,585.00 a tonne.
Spot gold added 0.1 percent to $1,228.75 an ounce. U.S. gold futures gained 0.06 percent to $1,229.30 an ounce.
In currency markets, the U.S. dollar hit its lowest level in roughly six months against the euro after the strong U.S. jobs data failed to shake investors' bullishness toward the euro ahead of the second round of France's presidential election.
The dollar index fell 0.18 percent, with the euro up 0.1 percent to $1.0995.
The Japanese yen weakened 0.12 percent versus the greenback at 112.64 per dollar, while Sterling was last trading at $1.2956, up 0.28 percent on the day.
The Canadian dollar strengthened 0.34 percent versus the greenback at C$1.37 per dollar, after 10 consecutive sessions of declines.
The loonie, the Australian dollar and Russia's rouble , among the world's most commodity- sensitive currencies, were all sent spinning overnight but later stabilized.
Benchmark 10-year notes last rose 1/32 in price to yield 2.3542 percent, from 2.356 percent late on Thursday.
(Reporting by Rodrigo Campos; Editing by Nick Zieminski)