Euro edged up on Monday as the dollar moved little against main currencies amid a lack of impactful data on the euro and dollar.
EUR/USD last traded at 1.0546, up from the opening of 1.0531, with an intraday high at 1.0556, and a low at 1.0511.
Euro's modest gains come as the dollar hovers in place amid weak demand on currencies and thin trading volumes, keeping a lid on markets' movements.
Euro is still unsettled amid a lack of direction in the markets, with expectations pointing to a stronger dollar as U.S. President-elect starts his stimulus plan, while euro demand falls due to policy divergence.
The Federal Reserve increased interest rates in December, while hinting at three more hikes in 2017, which slashed demand on the euro and other main currencies due to the policy gap with the European Central Bank.