The leu opened at 4.365 per euro, stronger than 4.376 per euro at Friday closing.
The local currency gained further and traded at around 4.362/4.363 to the euro at 10:00 local time (GMT0800).
Dealers said the market was driven by euro sales by non-residents, while the central bank buys euros to consolidate its reserves.
Friday, the central bank set the leu’s official exchange rate at 4.3771 per euro, from 4.3828 per euro in the previous day.
On the money market Monday morning, overnight rates were at 6%-6.5% a year.