In Hong Kong, the benchmark Hang Seng Index opened up 143 points, or 0.59 percent, at 24,625.
The China enterprises index was 51 points, or 0.62 percent, higher at 8,325 while the tech index rose 41 points, or 1.02 percent, to 4,119.
Up north, the Shanghai Composite Index opened up nine points, or 0.27 percent, at 3,659.
The Shenzhen Component Index rose 97 points, or 0.87 percent, to 11,273 while the ChiNext Index was 29 points, or 1.19 percent, up at 2,494.
In Tokyo, the Nikkei opened 526 points, or 0.92 percent, higher at 57,960, and its gains gained momentum to put the 225 benchmark 1,946 points higher at one stage before noon.
In Seoul, the Kospi was the odd one out, opening 25 points, or 0.5 percent, lower at 5,034 before nudging up to be 87 points in positive territory at one stage before lunch.
Earnings reports due this week from US tech companies such as CoreWeave, Applied Materials and Cisco Systems are set to put the profitability of AI ambitions to the test amid the massive costs of the build-out.
“The markets are far from being out of the woods yet,” said Kyle Rodda, senior financial market analyst at Capital.com.
“Following last week’s midterm elections that have led to increased regulatory risk and an overall underwhelming earnings season that’s seen Magnificent Seven companies miss earnings expectations, the momentum remains skewed to the downside.”
Elsewhere, Brent crude fell to US$97.49 per barrel after US President Donald Trump on Sunday said he was highly unlikely to order fresh attacks on Iran as long as talks to end the conflict progress.
A blowout jobs report on Friday showed US employers added 165,000 jobs last month, more than twice economists’ expectations and bolstering the case for the US Federal Reserve to raise interest rates in December.
A US CPI reading due on Tuesday could further cement expectations for a hike next month.
Market expectations for an increase of at least 25 basis points at the central bank’s December meeting moved up to nearly 80 percent in the wake of the report, according to the CME FedWatch Tool.
Comments from officials also supported views for a rate hike, with New York Fed president John Williams saying US economic growth has remained remarkably resilient in the face of successive shocks but inflation is too high and it is essential to bring it back to two percent.
That helped the greenback to notch its biggest single-day gain in five months. The dollar index, which tracks the greenback against a basket of currencies of other major trading partners, last traded at 102.2. (Agencies)