The U.S. bonds market was closed on Monday due to the Columbus Day holiday.
U.S. government debt prices were higher on Friday as investors digested a key employment report that missed expectations.
The U.S. economy added 156,000 jobs last month, the Labor Department said. U.S. nonfarm payrolls was expected to show that 176,000 jobs were added in September, compared with the 151,000 increase in jobs a month earlier.
The jobs report is a key indicator on labor market conditions, which is part of the Federal Reserve's so-called "dual-mandate" in determining monetary policy.
Treasury yields whipsawed back and forth following the jobs report. Kathy Jones, chief fixed income strategist at Charles Schwab told CNBC that it was a "pretty good report" and that she was surprised by how some people were "down playing" it. Jones said she thinks the report was strong enough to push the Fed to raise interest rates.
"As the Fed moves on its path towards normalization, I think there's some room for yields to move higher," she said.
The yield on the benchmark 10-year Treasury note sat slightly lower, around 1.7252 percent, while the yield on the 30-year Treasury bond also higher at 2.4615 percent. The two-year note yield slid to trade at 0.8462 percent.