Nikkei jumps 1%
Japan's Nikkei 225 index finished at a fresh 15-year high as a strong finish on Wall Street offset the impact of a rangebound yen.
Sharp surged 4.6 percent, boosted by news that Taiwan's Hon Hai Precision Industry is considering joining efforts to help rescue it. Among other exporter plays, Suzuki Motor and Nintendo leaped 4.5 and 3.6 percent each, while blue-chip Toyota Motor rose 1.7 percent.
The top gainer for the day was Eisai, which rocketed 20 percent after a brokerage upgraded the stock on the back of the effectiveness of its drug to treat Alzheimer's disease.
Read MoreData this week to show 'patchy' growth in Japan
Mainland indices up
In its ninth straight day of gains, China's Shanghai Composite charged up 2 percent to its highest level since May 2008.
Real estate developers were among the biggest contributors to Monday's rally, with China Merchants Property advancing 4.1 percent. Gemdale, Poly Real Estate and Shanghai Shimao climbed nearly 3 percent each on the back of possible policy easing for the wobbly sector.
Infrastructure plays also rallied, with China Railway Group and China Railway Construction up by the daily maximum limit each on news that Beijing will soon release details of the "Belt and Road" initiative seeking to link China to Europe.
Orient Securities rocketed 44 percent in its Shanghai debut after raising 10 billion yuan in the mainland's biggest listing since 2011.
Hong Kong's key Hang Seng index edged up 0.5 percent on the back of the rally in Shanghai, while corporate earnings remain in play. Financials such as Standard Chartered and property plays like China Overseas Land and Investment Limited led gains by rising more than 3 percent, respectively.
Asia's largest refiner Sinopec closed down 2.1 percent after posting its first quarterly loss since going public.