Tokyo's Nikkei put on 0.5%, reaching highs not seen since late July. MSCI's broadest index of Asia-Pacific shares outside Japan advanced 0.2%, amassing gains of nearly 3% so far this week. It has surged more than 8% in two short weeks.
The rally partly reflected a rebound in emerging markets as a recent string of upbeat Chinese data bolstered investor confidence -- even as the Federal Reserve looked set to begin scaling back its bond-buying programme next week.
Indeed, MSCI's emerging equities index has jumped more than 9% in two weeks, cutting its annual loss to around 6% from as deep as 17%.
"Investors may become more confident about the ability of emerging markets (EM) to weather future Fed tightening if EM cyclical data were to gain traction," said Koon Chow, head of EM strategy at Barclays Capital in London.
But some analysts suspect investors may be ready to book some profit, meaning further gains from here may be curbed.
"The rapid rise in recent weeks suggest there might be profit-taking which will limit gains," said Daishin Securities analyst Park Jung-seop.
Investors had been bailing out of emerging markets as they positioned for less support from the Fed, although last Friday's disappointing US jobs data convinced many economists that any withdrawal will probably be very gradual.
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Diminishing worries about potential US military strikes on Syria had further sharpened investor appetite for emerging markets assets. Syria has accepted a Russian proposal to give up chemical weapons and win a reprieve from US action.
This improved sentiment can also clearly be seen in the Australian dollar, which is usually used as a liquid proxy for Asia's emerging markets. It has rallied 4.7% to $0.9307 from the August 28 trough of $0.8891.
Currency investors, though, gave the yen a wide berth as the Bank of Japan is expected to continue its massive stimulus programme amid signs it is starting to lift the world's third biggest economy out of stagnation.
The dollar stood at 100.23 yen after climbing 0.8% on Tuesday to a seven-week peak of 100.47. The euro bought 132.98 yen, having gained nearly 1% to a 16-week high of 133.31 overnight.
Against the dollar, the common currency stood at $1.3266, struggling to make further headway after a 1-percent rally over Friday and Monday.
Oil stayed under pressure with Brent crude languishing near a 2-1/2-week trough of $110.59. It last traded at $111.30, having shed 4% in the past two sessions, its largest two-day drop since June.
There is little in the way of major economic news out of Asia on Wednesday. China's Premier Li Keqiang will give a keynote speech at the World Economic Forum in Beijing later in the day.