SYDNEY, Jan 3 (Reuters) - Global stock markets were lacklustre on Wednesday, while the dollar stayed strong, as market optimism about early U.S. interest rate cuts ebbed and the latest escalation of hostilities in the Middle East weighed on sentiment.

MSCI's broad index of world equities was 0.1% lower, following a 0.8% fall on Tuesday, marking a weak start to 2024 that may herald the end of the blistering gains for stocks and bonds that began late last year.

Europe's STOXX 600 share index opened flat and Asia Pacific shares outside Japan fell 1.3%.

Caution crept in ahead of the release of minutes from the U.S. Federal Reserve's December meeting, due at 1900 GMT on Wednesday.

Fed officials in December predicted 75 basis points (bps) of rate cuts in 2024, driving money market bets for around double that amount of cuts that prompted a cross-market year-end rally.

Futures markets still see a 70% chance of the Fed starting to lower U.S. borrowing costs from their current 22-year high from March.

"The market has already executed a pivot on the Fed’s behalf," strategists at Rabobank said in a research note, adding that the minutes "may still reinforce" the views of policymakers who are less committed to imminent cuts.

Reuters analysis of Fed policymakers' recent comments shows that, while many of them have noted improvements on inflation and some easing of wage pressures, most have not said monetary easing is urgent.

Important U.S. data this week should clarify the outlook further, with ISM's manufacturing survey, due later on Wednesday, set to signal whether the central bank has any new signs of an economic slowdown to worry about. The market-moving U.S. nonfarm payrolls report is due on Friday.

Kyle Rodda, an analyst at Capital.com, said the combination of event risk and thin liquidity at the tail end of the holiday raises the prospect of exaggerated moves in markets and heightened volatility this week.

"All that's required is a catalyst, which could come from the data flow in the coming days," Rodda said.

Futures markets tipped Wall Street's S&P 500 index to open flat later in the day after Tuesday's 0.6% fall in a retreat from record highs.

The tech-focused Nasdaq slid 1.6% on Tuesday, dragged lower by a nearly 3% drop in Apple to a seven-week low after Barclays downgraded its shares.

It was also set to flatline on Wednesday, judging by futures trade.

A climb in U.S. Treasury yields as the government debt securities sold off also continued on Wednesday. The benchmark 10-year yield, a barometer of expected long-term borrowing costs, briefly popped above 4% on Tuesday.

It was last trading around 2 bps higher at 3.96%.

Germany's 10-year Bund yield climbed 3 bps to 2.089%, rising for the fourth consecutive session.

Market sentiment was souring after tensions in the Middle East ratcheted up.

Israel on Tuesday killed Hamas deputy leader Saleh al-Arouri in Lebanon's capital Beirut, Lebanese and Palestinian security sources said, raising the risk of war in Gaza spreading well beyond the Palestinian enclave.

Denmark's Maersk and German rival Hapag-Lloyd said on Tuesday their container ships would continue to avoid the Red Sea after a series of attacks on vessels blamed on Houthi militants.

The U.S. dollar, which climbed 0.8% against an index of major currencies overnight to a two-week high, held steady at 102.1.

Brent crude oil futures,, were 0.2% lower at $75.69 a barrel as expectations of ample supply outweighed concerns about disruptions to Red Sea shipping routes.

Spot gold rose 0.3% to $2,065.39 an ounce.

(Reporting by Naomi Rovnick in London and Stella Qiu in Sydney; Editing by Sam Holmes, Neil Fullick and Kevin Liffey.)