But global investors are expected to remain cautious ahead of policy decisions by the Bank of Japan on Tuesday, the U.S. Federal Reserve on Wednesday and the Bank of England on Thursday.
MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS was off session highs but still up 0.8 percent.
Hong Kong stocks rose more than 1 percent on Monday, aided by sharp gains in mainland shares and a rally in global markets as oil prices climbed further.
The Hang Seng index rose 1.2 percent, to 20,435.34, while the China Enterprises Index gained 1.5 percent, to 8,686.27 points
Most sectors rose, with the property sector up over 2 percent.
European shares rose on Monday, extending gains made in the previous session and with banking stocks among the top performers, as funding plans from the European Central Bank buoyed the sector.
The pan-European FTSEurofirst 300 index, which had climbed 2.7 percent on Friday, was up 0.9 percent.
"We believe there is enough value in the sector for continued performance on central bank stimulus - with peripheral banks likely to lead the way," said RBC Europe analyst Robert Noble.
Reference: Reuters
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