Most Asian markets rose Monday, tracking fresh records on Wall Street following forecast-busting US jobs data, as investors eyed the Federal Reserve's latest policy meeting later this week.

US data on Friday showed 228,000 jobs were created last month and unemployment held at a 17-year low, reinforcing the view that the world's number one economy is in a healthy state.

The reading -- mixed with news of a breakthrough in Brexit talks, strong Chinese indicators and progress in US tax reform -- helped fire a rally in US equities, helping the Dow and S&P 500 to close at all-time highs.

Adding to the upbeat sentiment was an agreement by US lawmakers to keep funding the government to avert a painful shutdown.