The benchmark 10-year Treasury yield, which moves in the opposite direction to the price, was trading at 2.35 percent, down from 2.38 percent in New York on Friday and well off an eight-month high at 2.500 percent hit on Thursday.
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Yields were lower across the curve, falling in line with their German counterparts. In contrast, the yield on the benchmark Greek 10-year bond rose sharply to about 11.8 percent while the stock market in Athens tumbled more than 5 percent as Greek jitters took a toll.
"The default scenario is going to catch more fuel during this week unless the creditors offer debt relief as part of the package and significant changes are made by the Greek sides so that the creditors feel comfortable with their new offer," Naeem Aslam, chief market analyst at AvaTrade, said in a note.
On the domestic front, attention in the bond market was expected to turn to the U.S. Federal Reserve's two-day meeting that kicks off on Tuesday.