Global shares fell for the first time in three days on Jan. 10 after comments from two Federal Reserve officials injected a note of caution over the U.S. rate outlook, knocking equities, commodities and other risk assets.

The MSCI All-World index fell 0.2%, but remained in sight of Jan. 9’s three-week high, while the dollar - a gauge of investor risk appetite - edged up against a basket of major currencies.

In the past six weeks, China has dismantled its zero-COVID policy even as cases have surged around the country, which has given markets a bumpy ride as investors weighed up the economic benefits of reopening against the impact to activity from the wave of infections.

Adding to that has been a sense of optimism that inflation has peaked, especially in the U.S., and, as such, the Fed will not have to raise rates as much as many had feared.

However, with consumer price pressures still well above the central bank's target of 2%, two Fed officials on Jan. 9 issued a stark reminder that interest rates will have to keep rising, no matter what investors have priced in.

"The market is trying to get one step ahead of the Fed, but it’s not actually listening to what it's saying. And the Fed is being quite clear with its message - that rates are going to push higher and they’re going to stay higher for longer," CityIndex strategist Fiona Cincotta said.

"If we look at expectations of inflation later this week - the big focus – core inflation is still expected to remain high. It doesn't matter which way you look at it. It's still higher than the target the Fed is aiming for," she said.

U.S. consumer price data, due on Jan. 12, is expected to show headline inflation slowed to 6.5% in December from 7.1% in November.

The data could be key to setting expectations for what happens with rates at the Fed's next policy meeting and beyond.

San Francisco Fed President Mary Daly told the Wall Street Journal she would pay close attention to Thursday's data and both 25- and 50-basis point hikes were options for her. Atlanta Fed President Raphael Bostic said his "base case" was for no rate cuts this year or next.

"The main theme overnight was cautiousness in the equity space as stocks pared gains after hawkish comments from two Fed officials. Raphael Bostic and Mary Daly said the Fed would likely hike (interest) rates to above 5% and hold them there for some time," Commerzbank said in a note.

Fed Chair Jerome Powell addresses a conference on central bank independence on Jan. 10 and investors will likely scour his remarks for any signal on monetary policy.

"Given that the recent rebound in equity markets and fall in bond yields and the US dollar is loosening financial conditions, today might offer an opportunity for Fed chairman Jay Powell to reset the narrative slightly," CMC Markets chief strategist Michael Hewson said.

Brent crude futures LCOc1 were last up 0.4% to $80.00 a barrel. The oil price is about 2.3% below where it was a year ago and 45% below the highs around $139 after Russia invaded Ukraine last February.