* OPEC mulls boosting production after Libya unrest
* Euro slips for 2nd day on euro zone debt concerns
* Greek 10-year yields hit euro-era high
* Global stocks rise on oil price relief (Adds Treasuries prices down despite well-bid auction)
By Walter Brandimarte
NEW YORK, March 8 (Reuters) - Oil prices fell sharply on Tuesday as OPEC considered raising production for the first time in more than two years and the euro slipped for a second day on renewed euro zone debt worries.
U.S. stocks rallied as the fall in crude prices eased worries the economic recovery could be choked off. The recovery in stocks appeared tentative, however, as investors feared unrest in Libya and the Middle East could still drive oil prices up, a day after they hit a 2-1/2-year high.
An official oil output increase by the Organization of the Petroleum Exporting Countries would signal the group's determination to cap prices, but continued violence in Libya left investors jittery. Libya's oil output, normally 1.6 million barrels per day, is estimated to be down by about 1 million barrels per day.
OPEC oil producers are consulting about a supply boost, Kuwait's oil minister said, but many in the group remain skeptical. [
]"At the moment, I think we just remain nervous -- the situation in the Middle East is still fluid," said Frank Lesh, a futures analyst and broker at FuturePath Trading LLC in Chicago. "We'd like to see a little more clarity there, and we certainly don't have that."
Brent crude <LCOc1> prices dropped 1.7 percent to $113.06 per barrel, while U.S. light crude futures <CLc1> were 0.7 percent lower at $104.72.
The three major U.S. stock indexes rallied, also supported by an upbeat profit forecast from Bank of America <BAC.N>, although analysts cautioned against an imminent pullback.
"The market is due for, at a minimum, a pullback, if not a correction, having gone up" so much, said Hank Smith, chief investment officer at Haverford Trust Co in Philadelphia.
The Dow Jones industrial average <
> rose 143.99 points, or 1.19 percent, at 12,234.02, while the Standard & Poor's 500 Index <.SPX> climbed 13.67 points, or 1.04 percent, at 1,323.80. The Nasdaq Composite Index < > gained 28.50 points, or 1.04 percent, at 2,774.13.Bank of America shares shot up 4.3 percent to $14.64, while financials led gains on the S&P 500, with the S&P financial index <,GSPF> up 2.3 percent.
In Europe, the FTSEurofirst 300 <
> index of top shares ended up 0.31 percent at 1,147.43 points, after seesawing between positive and negative.GREEK YIELDS AT RECORD HIGH
The euro fell against the dollar as concerns about the debt situation of peripheral euro zone countries outweighed expectations of an interest rate hike by the European Central Bank next month.
Concerns about Europe's debt problems have been on the rise since Moody's cut Greece's credit ratings by three notches on Monday, signaling more downgrades are on the way.
Greece's borrowing costs spiked on Tuesday, with yields paid by 10-year government bonds <GR10YT=TWEB> climbing to 12.946 percent, their highest since the launch of the euro currency.
The euro <EUR=> fell 0.5 percent to $1.3906. It had climbed to a four-month high above $1.40 on Monday after ECB president Jean-Claude Trichet said last week that euro-zone interest rates could rise as early as next month.
A rise in interest rates would push up borrowing costs across the 17-country euro zone, increasing the cost of funding for highly indebted countries.
"The problem with the interest rate-driven trade and Trichet's hawkish comments is that you have to see the other issues behind it," said John McCarthy, director of foreign exchange at ING Capital Markets in New York. "Higher rates will be devastating for the peripheral countries."
Despite the retreat in oil prices, tension in the Middle East led investors to the perceived safety of U.S. government debt, causing prices of 10-year bonds <US10YT=RR> to fall 6/32, and driving their yield up to 3.5365 percent.
Safe-haven demand for U.S. debt also boosted investor appetite for the $32 billion worth of three-year notes auctioned by the Treasury on Tuesday.
Gold eased below $1,430 an ounce, falling further from Monday's record high after the drop in oil prices eased some concerns about inflation. Spot gold <XAU=> was last at $1,425.00. (Additional reporting by Wanfeng Zhou, Chuck Mikolajczak, Nick Olivari, Brenda Goh and William James; Editing by Leslie Adler and Andrew Hay)