Across the Korean Strait, the Kospi erased early losses to close 0.72 percent higher. Index heavyweight Samsung Electronics finished the session 3.01 percent higher after selling off last week on poorer-than-expected profit guidance. Rival chipmaker SK Hynix also recorded gains, climbing 2.43 percent by the end of the day.
Share of Hyundai Motor closed up 1.94 percent after news this morning that union members at the automaker had come to an agreement on wages. Brokerages and manufacturing names, however, traded lower on the day.
Down Under, the S&P/ASX 200 slipped 0.47 percent to end at 6,048.6 as the energy, utilities and telecommunications sectors led losses on the broader index. The heavily-weighted financials sector declined 0.52 percent.
Rio Tinto shares declined 0.66 percent by the end of the day, paring earlier gains made after it reported fourth-quarter production figures. The company said 2017 iron ore shipments rose 1 percent and were in line with guidance. Fourth-quarter iron ore shipments rose 3 percent compared to the same period one year ago.
The Hang Seng Index bounced 1.46 percent at 3:00 p.m. HK/SIN, with the benchmark looking set to notch a record close. The Hang Seng had closed lower on Monday, breaking a 14-day winning streak. Ahead of the market close, index heavyweights Tencent and HSBC were up 2.08 percent and 0.48 percent, respectively, as financials, casinos and energy-related plays notched gains.
On the mainland, the Shanghai composite edged up 0.79 percent to end at 3,437.48 and the Shenzhen composite rose 0.72 percent to finish at 1,927.56. Financials were among the best-performing sectors on the blue chip CSI 300 index, with Industrial and Commercial Bank of China closing up 2.33 percent.
Despite the broader move higher, airline stocks suffered steep losses, with Air China falling 3.73 percent and China Eastern Airlines losing 2.42 percent by the end of the session.
MSCI's index of shares in Asia Pacific excluding Japan gained 0.54 percent.
Dow Jones industrial average futures, meanwhile, soared 0.76 percent, or 197 points, ahead of markets stateside re-opening following Martin Luther King Jr. Day on Monday.
European markets finished in mildly negative territory in the last session, although volumes were lighter than usual owing to Wall Street being closed.