* Oil falls on Chavez's Libya mediation proposal
* Stocks slightly higher, Wall Street set for gains
* ECB boost euro with inflation comments
By Jeremy Gaunt, European Investment Correspondent
LONDON, March 3 (Reuters) - A proposal by Venezuela President Hugo Chavez to try to broker a peace deal in Libya briefly pushed oil lower on Thursday, while recently risk-averse stock markets put in gains.
Wall Street looked set to open higher and shares in Europe and Asia gained as the oil price eased, and on upbeat U.S. economic data overnight.
The euro currency and yields on euro zone government debt shot higher, meanwhile, as European Central Bank President Jean-Claude Trichet warned about inflation, raising the likelihood of an interest rate rise later this year.
Brent crude oil <LCOc1> fell as low as $113.09 a barrel but was later back up above $114 on reports of continued fighting in Libya, including air strikes against rebel positions.
World stocks as measured by MSCI <.MIWD00000PUS> were up 0.5 percent.
The sharpest moves in oil were prompted by Chavez, a friend of Libyan leader Muammar Gaddafi, suggesting a commission from Latin America, Europe and the Middle East could be formed to try to reach a negotiated outcome to the Libyan crisis, which has driven oil to levels that may threaten the global recovery.
Arab League Secretary-General Amr Moussa said his group was considering the proposal.
Some oil analysts suggested the proposal was a convenient excuse for traders to adjust their positions.
"If it's coming out of Chavez, it might not have a great degree of substance," said Tim Riddell, head of technical analysis at ANZ in Singapore.
"The fact that the markets have been so volatile, and without having concrete evidence of any material shift in the unrest in the Arab world, suggests to me that we are at best consolidating."
Financial markets have nonetheless become highly sensitive to the turmoil in North Africa and the Middle East because of the broad impact that a rising oil price has on everything from corporate profits to consumer confidence and interest rate projections.
STOCKS RISE
European shares rose on Thursday, buoyed by positive U.S. economic news overnight and the falling oil price.
The FTSEurofirst 300 <
> index of leading European shares was up 0.9 percent, recovering the previous session's 0.7 percent fall.Forecast-beating U.S. private sector jobs data and positive comments from the Federal Reserve in its latest Beige Book report overnight helped support equities in both the United States and Asia.
"(There is) some hope that the global recovery is strong enough to weather any shocks that may arise due to uncertainties in the Middle East," said Zahid Mahmood, senior dealer at Capital Spreads.
The euro rose as high as $1.3935, its highest since early November, after Trichet said the outlook for prices was on the upside. Investors had already pushed the euro up about 3 percent from a low hit on Feb. 14.
Short-term euro zone government bond yields traded at their highest since June 2009 on the prospect of an interest rate hike as early as July.
A smooth bond auction by Spain, which remains under pressure in financial markets on uncertainty over whether Europe can solve its debt crisis, offered markets a small positive signal. [
] (Additional reporting by Caroline Copley, Neal Armstrong and Simon Falush; Editing by Catherine Evans)