Euro/dollar gains helped to push the dollar index down 0.1% to 76.492, pulling it away from a near six-week high of 76.726 hit late last week.
The euro initially rose against the yen, rallying close to the day's high around ¥130.60, before reversing those gains. It was last at ¥129.29, down half a percent on the day.
Last month, news that government-controlled holding company Dubai World might default rattled financial markets and led to a sell-off in the euro and riskier assets, including the high-yielding Australian dollar.