The dollar index and dollar index futures were little changed during the Asian session on Monday.
But traders remain largely biased against the greenback ahead of key US inflation data later this week.
The CPI - released on Wednesday - will be closely watched, as it could influence the US interest rate outlook.
The dollar saw wild swings last week as mixed U.S. economic data raised questions about when the central bank will start cutting interest rates this year. However, while the US economy appears to have cooled in recent months, inflation is forecast to remain high.