The benchmark 10-year JGB yield gained one basis point to minus 0.270%.
In the super-long zone, the 20-year yield rose 1.5 basis points to 0.070% and the 30-year added half-a-basis point to 0.160%.
Key 10-year JGB futures eased 0.17 point to 155.14, with a trading volume of 30,145 lots.
Supporting the market mood, Trump said on Monday that Chinese officials had contacted their U.S. trade counterparts and offered to resume negotiations, an assertion that China declined to confirm.