Tokyo's Nikkei average .N225 climbed 0.7 percent while MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS stood almost flat, just shy of one-year highs hit on Friday. (Agencies)
Activity could be crimped in Asia due to market holidays in London and New York on Monday.
Investors took their cue from upbeat US hosing data on Friday, with sales of new US single-family homes rising more than expected in April and the number of houses on the market hitting a 3-1/2 year-high.
The figures were good enough to boost Wall Street shares after Federal Reserve chief Janet Yellen said earlier this month that a slumping housing market, as well as geopolitical tensions, risk undermining the US economy [ID:nL2N0NT0Y3]
The S&P 500 index .SPX closed at a record high of 1900.53 on Friday, just below a record intraday high of 1,902.17 set on May 13, buoyed by a rally in housing stocks.
"Looking at housing shares, you could say markets had already lowered expectations on the housing markets sharply," said Tohru Yamamoto, chief strategist at Daiwa Securities.
"Last month, investors were expecting a sharp rebound after a bad weather. But if you think housing is a downside risk, the figures look pretty good," he said.
Investors were also hopeful of easing geopolitical risks after exit polls in Ukraine gave Poroshenko, a confectionery magnate with long experience in government, more than 55 percent of the vote. The billionaire has vowed to bring peace and end a months-long crisis.
Tensions between Ukraine and Russia have escalated in recent months, with Kiev accusing Moscow of sowing deadly disorder in its mostly Russian-speaking east, where pro-Moscow separatists have declared independence and asked to join Russia.
Results will not be announced until Monday but runner-up Yulia Tymoshenko, on 13 percent, made clear she would concede, sparing the country a tense three weeks until a runoff round.
"Poroshenko's victory in the first round of vote is positive for political stability, even though there remains a huge uncertainty and we need to keep an eye on further developments," said Junya Tanase, chief currency strategist at JPMorgan Chase Bank in Tokyo.
The improved mood put pressure on the safe-haven yen, which fetched 101.97 yen to the dollar in early trade, near its lowest level in more than a week.
The euro faced pressures of its own, holding near a three-month low of $1.3615, not helped by a rise in votes for anti-establishment parties in the European Parliament elections, especially in France and Greece.
In France, the far right National Front scored a stunning victory, forcing French Prime Minister Manuel Valls to call the breakthrough by the anti-immigration, anti-euro party "an earthquake" for France and Europe.
Greece's radical leftist Syriza also rode a wave of anti-austerity anger to win the country's EU election, though it failed to deliver a knockout blow against Prime Minister Antonis Samaras' government, the official projection showed on Sunday.
"We have to pay attention to how periphery euro bonds will react to the election results. Because their spreads have been tightening sharply over the past year, there could be some correction, in which case, the euro could face further pressure," said JPMorgan's Tanase.
The common currency has fallen 1.7 percent so far this month, pressured by European Central Bank President Mario Draghi's suggestion earlier this month that the bank will adopt stimulus at its next policy meeting in June.
A disappointing report on German business sentiment data on Friday reinforced expectations of imminent ECB policy easing.
Tokyo's Nikkei average .N225 climbed 0.7 percent while MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS stood almost flat, just shy of one-year highs hit on Friday.