However, a mixed day on Wall Street highlighted ongoing worries about elevated tech valuations following a breathtaking AI-fueled rally this year.

After passing the Senate, a spending bill to reopen the US government is due before the House of Representatives and then to Donald Trump, with hopes services can resume as soon as Friday.

In a dig at Democrats who he blamed for the closure, the US president said in a Veterans Day speech at Arlington National Cemetery on Tuesday: "We're opening up our country -- it should have never been closed."

He added: "Only people that hate our country want to see it not open," he told ESPN.

Investors have welcomed the deal, which will end a shutdown that began on October 1 and saw a million federal workers unpaid, food benefits for low-income Americans threatened and thousands of flights cancelled.

It has also meant a string of key data points have not been released, leaving traders and the Fed unable to make informed decisions on policy.

However, analysts pointed out that while some reports could come out soon, it was unclear about others.

"September payrolls should be relatively quick, it was set to be published the day after the start of the shutdown," said Taylor Nugent at National Australia Bank. 

"Data where collection was disrupted could take longer and it is not clear yet what approach will be taken for missing data.

"The unemployment rate for October, which relies on household surveys, and many October consumer prices which are actively surveyed, are key challenges."

Adding to the upbeat mood was expectations for a Fed rate cut in December after data from private payrolls firm ADP showed US companies shed 11,250 jobs per week on average in the four weeks ended October 25.

The figure followed a number of reports pointing to a softening labor market, which is putting pressure on the Fed to cut, even as it looks to keep a lid on stubbornly high inflation.

A report this month from outplacement firm Challenger, Gray & Christmas revealed US layoffs hit the highest level in 22 years in October.

In early Asian trade, Hong Kong, Tokyo, Shanghai, Sydney, Seoul, Singapore, Taipei, Wellington and Manila were all in the green.

Still, Wall Street was less euphoric, ending on a mixed note, with tech firms struggling to match the soaring performances that have characterized this year.

The Nasdaq ended slightly down and the broader S&P 500 marginally higher, but the Dow closed more than one percent higher, with observers saying that suggested a shift into industrial sectors.

Tech's tepid run of late has come amid talk that a bubble has formed in the sector, with some warning it could burst.

"Valuation concerns have intensified as the (S&P 500) index has climbed higher throughout the year," said Fabien Yip, a market analyst at IG.

"Investors are questioning whether current price levels can be sustained, particularly on stocks boosted by the AI boom if interest rates remain elevated for longer than expected."

Traders were also spooked by news that Japanese tech investment titan SoftBank had sold all its shares in US chip giant Nvidia for $5.8 billion, without giving a reason.

Shares in Nvidia fell three percent, and SoftBank plunged as much as 10 percent in Tokyo on Wednesday.