MSCI's broadest index of Asia-Pacific shares outside Japan jumped 0.4% to 736.4.
Japan's Nikkei climbed 1.1%, despite data showing the country's recovery from its worst postwar recession slowed in the fourth quarter.
Australia's benchmark index added 0.9% while E-mini futures for the S&P 500 were up 0.3% in early Asian trading.
China and Hong Kong markets are shut for the Lunar New Year holiday. U.S. stock markets will be closed on Monday for the Presidents Day holiday.
The highlight of the week will probably be minutes of the U.S. Federal Reserve's January meeting, where policymakers decided to leave rates unchanged.
Data on inflation is due from the UK, Canada and Japan while Friday will see major economies including the United States release the preliminary February purchasing managers' indices (PMI).
While economists expect inflation to stay benign for some while yet, the so-called "reflation trade" has gathered steam in recent days largely led by coronavirus vaccines and hopes of massive fiscal spending under U.S. President Joe Biden.
Biden pushed for the first major legislative achievement of his term, turning to a bipartisan group of local officials for help on his $1.9 trillion coronavirus relief plan.
"In our view, as long as the rise (in inflation) is gradual, equity markets can continue to do well. However, unruly moves would certainly hurt investor sentiment," said Esty Dwek, head of global market strategy, Natixis Investment Managers Solutions.
"Credit spreads have tightened sharply already, but they still have room to absorb some higher yields, making us more comfortable with credit risk than interest rate risk," Dwek added.
"Commodities would be beneficiaries of an inflationary cycle, but they can still continue to recover without high core inflation as economies reopen and demand picks up."
Oil prices climbed to the highest since January 2020 on hopes U.S. stimulus will boost the economy and fuel demand.
Prices were also buoyant after a Saudi-led coalition fighting in Yemen said it intercepted an explosive-laden drone fired by the Iran-aligned Houthi group, raising fears of fresh Middle East tensions. [O/R]
Brent crude rose $1 to $63.43 a barrel. U.S. crude oil gained $1.2 to $60.7.
On Friday, the S&P 500 and Nasdaq set record closing highs. The Dow finished 0.1% higher at 31,458.4 points, the S&P 500 gained 0.5% to 3,934.83 and the Nasdaq added 0.5% to 14,095.47. [.N]
Action in currencies was muted.
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