The three major US indices all closed at record highs on Friday with earnings season in full swing, on the back of strong earnings announcements.
The trend is expected to continue, with major companies signalling higher profits in anticipation of tax cuts recently enacted in the United States.
With more data expected this week -- including from tech giants like Apple, Amazon, Facebook, Alibaba and Google's parent company Alphabet -- analysts say strong results could sustain the positive sentiment in the markets.
"A data-packed week and stock reporting seasons around the globe should see market focus turn to the numbers," said Michael McCarthy, chief strategist at CMC Markets in Sydney.
But he warned that "a weakening US dollar may prove a brake on any investor exuberance".
The greenback remains under pressure, after seemingly contradictory comments last week on its strength by US President Donald Trump and Treasury Secretary Steven Mnuchin.
- 'Two-way uncertainty' -
The dollar could experience more turbulence with several major announcements coming up this week, including Trump's State of the Union address on Tuesday.
"We should expect more two-way uncertainty entering the fray this week, which could make for some touch and go moments," said Stephen Innes, head of Asia-Pacific trading at OANDA.
"But for now, the markets remain comfortable to maintain a longer-term soft USD bias."
Markets could also be impacted this week by the outcome of a scheduled US Federal Reserve meeting.
The Fed is expected to leave the benchmark US interest rate untouched, but economists say the changing composition of the policy committee could point to faster rate rises in 2018.
Industrial data from China and GDP figures from India are also expected this week.
Tokyo closed flat as late profit-taking erased Monday morning gains, and Shanghai ended the day down one percent.
Hong Kong lost 0.6 percent after an early surge, but Seoul ended up 0.9 percent and Sydney closed 0.4 percent higher.
Singapore, Bangkok, Wellington, Manila and Taiwan all rose, while Jakarta was down.
London rose 0.1 percent in early European trading, while Paris and Frankfurt were flat.