There was the prospect of more fiscal stimulus ahead as US senators worked to finalise a sweeping $1 trillion infrastructure plan that could pass this week
Investors this week will also focus on the Bank of England's monetary policy meeting on Thursday and the release of euro area flash PMI data on Friday.
Comments from ECB officials supporting the view that there is no hurry to taper the central bank's aggressive emergency stimulus continue to support mostly peripheral bonds.
Euro zone yields were already edging down, tracking moves in US Treasuries, which were affected by an auction of benchmark 10-year notes that was not as bad as feared.
The ECB barely increased its emergency bond purchases in recent weeks, stoking doubts about the bank's resolve to calm market nerves and support indebted governments through the pandemic.
British 10-year Gilts were up 2.5 bps at 0.20%, while Ireland -- the euro zone country most affected by Brexit -- saw its 10-year borrowing costs rise off last week's record low to -0.31%.
Euro zone bond yields resumed their downward trend, with Germany's benchmark 10-year bond yield falling to a one-month low of -0.639pc at 1238 GMT, down 4 bps on the day.
A two-day EU summit begins Thursday, and the bloc is ready to set up its planned EU stimulus without Hungary and Poland, which are maintaining their veto of the EU budget.
