Asian markets struggled to maintain early momentum Tuesday as a rally fuelled by hopes for an end to the US government shutdown ran out of gas.

Equities started the week on the front foot after US lawmakers reached a deal to reopen the government after more than 40 days, adding to a revival of demand for tech giants despite growing fears of an AI-fuelled bubble.

Senators on Capitol Hill passed the compromise budget measure on Monday after a group of Democrats broke with their party to side with Republicans on a bill to fund departments through January.

It is hoped the bill will then pass the Republican-held House of Representatives and head to Donald Trump's desk, with some suggesting the government could reopen Friday.

"It appears to us this morning that our long national nightmare is

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