Asian shares took solace from gains on Wall Street and edged higher on Tuesday, though gains were capped by caution over low share trade volume and plunging Brent crude oil prices ahead of this week's holidays.

MSCI's broadest index of Asia-Pacific shares outside Japan inched 0.1 percent higher in early trade, after Wall Street logged solid gains overnight following a losing week.

Japan's Nikkei stock index was down 0.2 percent in early trading.

U.S. and most European markets will close on Friday for Christmas. While Christmas is not a public holiday in Japan, markets will be closed on Wednesday to observe the emperor's birthday.

Brent crude oil futures skidded to a low of $36.04, their lowest price since July 2004, as demand for heating oil slumped on warmer-than-normal temperatures.

U.S. crude futures CLc1 edged up about 0.1 percent to $35.85, holding above their 2009 low.

"The price of oil could fall below $30 a barrel but we do not see much weakness beyond that and by the end of the year we expect prices to settle closer to $40," said Kathy Lien, managing director of FX strategy for BK Asset Management in New York, adding, "when the dollar peaks, commodities will bottom."

In the long run, she said in a note to clients, "China's focus on domestic demand should be positive for energy prices."

The dollar index, which tracks the greenback against a basket of six rival currencies, was steady at 98.463, but below a two-week high of 99.294 marked on Thursday.

The dollar edged up about 0.1 percent to 121.21 yen JPY=EBS, while the euro was nearly flat from late North American levels at $1.0911.

The euro rose on short covering on Monday following a weekend election in Spain, even after no party won a clear mandate in the euro zone's fourth biggest economy.

Spot gold took a breather from its recent gains and was steady at $1,077.96 an ounce after rising 1.2 percent on Monday and 1.4 percent on Friday as investors covered short positions ahead of the holidays.

(Reporting by Lisa Twaronite; Editing by Eric Meijer)