In trade thinned by holidays in China and Hong Kong, MSCI's broadest index of Asia-Pacific shares outside Japan rose 1%, led by a 2.5% gain in Australia.
Japan's Nikkei rose 2.6%. Sterling drifted up to an almost two-week high of $1.1343, making for a bounce now of almost 10% from a record low hit last week after plans for unfunded tax cuts unleashed chaos on British assets.
"The about-face ... will not have a huge impact on the overall UK fiscal situation in our view," said NatWest Markets' head of economics and markets strategy John Briggs.
"(But) investors took it as a signal that the UK government could and is at least partially willing to walk back from its intentions that so disrupted markets over the past week."
Investors also took heart from stability at the long end of the gilt market, even though emergency purchases from the Bank of England were only relatively modest.
S&P 500 futures rose 0.6%, following a 2.6% bounce for the index overnight. [.N]
British Finance Minister Kwasi Kwarteng released a statement reversing planned tax cuts for top earners. It makes up only 2 billion out of a planned 45 billion pounds of unfunded tax cuts that had sent the gilt market into a tailspin last week.
South Korea's Kospi bounced 2.3%, lifting away from last week's two-year low, despite North Korea firing a missile over Japan for the first time in five years. [.KS]
Ahead on Tuesday, the Reserve Bank of Australia meets to set interest rates with markets leaning toward expecting a 50 basis point hike.
The recovery for sterling has settled some nerves in the currency market, though the persistent strength of the dollar still holds a lot of major currencies near milestone lows and has authorities throughout Asia on edge.
Japan's yen, for example hit 145 to the dollar on Monday - a level that prompted official intervention last week - and was last at 144.71. The euro was at $0.9823, about three cents stronger than last week's 20-year trough. [FRX/]
Chinese authorities have rolled out manoeuvres to support the yuan ranging from unusually strong signals to the market to administrative measures that raise the cost of shorting it.
"More volatility is almost certainly assured as FX markets re-focus on U.S. recession risks, which continue to build," said ANZ senior economist Miles Workman, with U.S. jobs data on Friday the next major data point on the horizon.
The Australian dollar wobbled around $0.65 ahead of the central bank meeting. The Reserve Bank of New Zealand meets on Wednesday and the kiwi held at $0.5715. [AUD/]
Treasuries rallied in sympathy with gilts overnight and the benchmark 10-year yield dropped 15 basis points. It was steady in Asia at 3.6387%, having briefly poked above 4% last week.
Other indicators of market stress abound. The CBOE Volatility Index remains elevated and above 30. Shares and bonds of Credit Suisse hit record lows on Monday as worry about the bank's restructuring plans swept markets.
Oil held overnight gains on news of possible production cuts, and Brent futures were last up 43 cents to $89.29 a barrel.
(Editing by Sam Holmes)
By Tom Westbrook