The euro was wallowing at multi-month lows against the dollar and yen as the West considers another round of sanctions against Russia for its support of Ukrainian rebels who have been accused of shooting down Malaysia Airlines flight MH17 on Thursday.
Sydney rose 33.41 points, to close at 5 576.7 and Shanghai at 3.01 points, to 2 078.49, while Hong Kong put on 189 to 23 971.87.76 points.
However, Seoul was marginally lower, giving up 0.61 points to finish at 2 028.32, while Tokyo slipped 14.72 to 15 328.56 points as a stronger yen weighed on exporters.
Jakarta rose 0.50% a day after officials declared business-friendly and reform-minded Joko Widodo the winner of the country's tight presidential election.
Global markets rebounded on Tuesday on news that pro-Russian rebels had handed over the black boxes from the Malaysian passenger jet that came down in eastern Ukraine with the loss of almost 300 people.
US shares were given an extra boost by data from the National Association of Realtors that showed sales of existing homes in June accelerated 2.6% to their fastest pace since October.
The figures are a boon for the economy, with the property sector a key component.
The Dow rose 0.36%, the S&P 500 gained 0.50% and the Nasdaq added 0.7 %.
Also Tuesday, the Labour Department said inflation slowed to 0.3% in June from 0.4% in May.
The news will do little to add pressure on the Federal Reserve to raise interest rates sooner than the expected mid-2015 range. The Fed holds its next policy meeting on July 29-30.
Russia sanction threat hits euro
On currency markets, the euro came under pressure as investors worry about the effects of another round of expected sanctions on Russia, which has been blamed with supplying anti-Kiev militants in Ukraine.
With the eurozone heavily reliant on its giant eastern neighbour for energy supplies, there are fears the bloc's already fragile economy could suffer as a result of any new measures against Moscow.
The single currency hit an eight-month low of $1.3458 in Tokyo Wednesday- down from $1.3463 in New York -before edging back up to $1.3461.
It also dipped to ¥136.44- its lowest since February after closing in the US at ¥136.62 in US trade.
The dollar fetched ¥101.39 compared with ¥101.45 in New York.
Oil prices were lower. US benchmark West Texas Intermediate (WTI) for September delivery was down 33 cents at $102.06 a barrel in afternoon trade on the contract's first day of trading.
Brent crude declined 12 cents to $107.23.
Gold fetched $1 307.17 an ounce by 10: 50 GMT compared with $1 306.89 late on Monday.
In other markets:
- Wellington rose 12.66 to 5 146.5 points.
Telecom was up 1.93% at NZ$2.90 and Warehouse Group eased 0.96% to NZ$3.08.
- Manila ended 0.33% higher, adding 22. to 6 892.92. 98 points.
Universal Robina Corp. rallied 4.75% to 165 pesos as the exchange lifted its suspension on trading after the food giant announced on Monday that it was buying New Zealand snack-maker Griffin's for $610m. Alliance Global Group gained 0.93% to 27 pesos.
- Taipei was closed because of Typhoon Matmo.
- Mumbai advanced 121.53, to close at 26 147.33 points.
Financial Technologies India surged 9.99% to end at 332.50 rupees and tyre maker MRF rose 7.27% to end at 24 651.10 rupees.
- Bangkok added 20.75 to 1 541.56 points.
Coal producer Banpu rose 3.28% to 31.50 baht, while Siam Cement gained 2.20% to 464.00 baht.
- Singapore advanced 23.79 to close at 3 340.70 points.
United Overseas Bank rose 1.31% to end at Sg$24.04 and Singapore Airlines finished 0.19% lower at Sg$10.55.
- Jakarta rose 9.71 to 5 093.23 points.
Mobile phone provider Indosat rose 1.01% to 4 000 rupiah, while car maker Astra International fell 0.32% to 7 700 rupiah.
- Kuala Lumpur's main index edged up 0.47 to 1 871.8 points.
MISC added 1.7% to 6.63 ringgit while UMW Holdings gained 0.9% to 11.62. Malaysia Airlines shares slipped 2.2% to 0.225 ringgit.