Australia and New Zealand Banking led gains by nearly 2 percent while National Australia Bank and Commonwealth Bank of Australia closed up over 1 percent each before releasing earnings later this week.
Macquarie added 1.5 percent as it plans an aggressive push into the home mortgage sector.
Rio Tinto increased 1 percent after agreeing to sell its 50.1 percent stake in its Clermont Mine to GS Coal, a company jointly owned by Glencore Xstrata and Sumitomo.
China's benchmark index reversed losses to cross 2,130 points but still traded within sight of Friday's seven-week low, weighed down by steep declines in resource stocks as as investors engaged in profit taking.
(Read more: Chinese stocks: Timeto take profit?)
Yangquan Coal and Lu'An Environmental Energy fell over 3 percent each despite Brent crude snapping a four-day losing streak.
Financials are in focus after China Construction Bank's third quarter net profit increased by a lower-than-expected 9.4 percent, its weakest growth in five years. CCB shares ended flat percent while mid-tier lender Minsheng Bank fell 1.1 percent.
Data over the weekend showed an 18.4 percent annual jump in profits for Chinese industrial firms in September but that figure was slower than the 24.2 percent jump seen in August.
Kospi rises 0.7%
Seoul's share market edged higher on strong foreign buying, leading to over 2 percent gains for market heavyweights Hyundai Motor and Samsung Electronics.
But a stronger currency capped gains on the Kospi. The won traded at 1,060 per dollar, close to the nine-month high of 1,055 it hit against the greenback earlier this month.
In earnings news, KB Financial fell 1 percent despite announcing that its July-September operating profit rose an annual 5.1 percent while SK Hynix jumped 1.5 percent before reporting third-quarter results Tuesday.
Indian shares close at 1-1/2 week low
Indian shares fell on Monday for a fifth consecutive session to mark their lowest close in nearly 1-1/2 weeks, as lenders and other interest rate-sensitive shares declined ahead of the central bank's monetary policy review on Tuesday.
State Bank of India Ltd. provisionally fell 2.7 percent, while DLF Ltd. ended 3.6 percent lower.
The benchmark index provisionally fell 0.5 percent, falling for a fifth straight session after hitting a string of near-three year highs last week.
The broader NSE index closed down 0.55 percent.
—Reuters contributed to this report