The island nation launched the sale of 5-year and 10-year sovereign bonds, a senior government official told Reuters, aiming to tap global capital markets for the second time in three months.
The currency ended at 176.45/55 per dollar, compared with Friday's close of 176.70/80, market sources said.
The rupee is up 3.4pc for the year.
Analysts, however, still expect the rupee to weaken further as money flows out of stocks and government securities.
The rupee dropped 16pc in 2018, and was one of the worst-performing currencies in Asia.
Foreign investors bought a net 879.6 million rupees worth of government securities in the week ended June 19, but the island nation's net foreign outflow was at 20.7 billion rupees so far this year, central bank data showed.
Meanwhile, Sri Lankan benchmark stock index ended 0.17pc weaker at 5,354.53, its lowest closing level since June 11. It fell 0.38pc last week and is down 11.53pc so far this year.
Foreigners sold on a net basis for the 10th session out of the last 11, the bourse data showed.
Sri Lanka's economy picked up to 3.7pc in the first quarter of 2019, government data showed on Wednesday.
But investors shrugged off better-than-expected growth as full-year growth is expected to slow after the Easter Sunday attack.
Sri Lanka is in talks with the Beijing-backed Asian Infrastructure Investment Bank for a $1 billion dollar loan, the finance ministry said.
The central bank cut its key interest rates on May 31 to support a faltering economy as overall business and consumer confidence slumped following deadly bomb attacks in April.
Sri Lanka is unlikely to hit its full-year economic growth target of 3-4pc following the bombings, junior finance minister Eran Wickramaratne told Reuters last month.
A Reuters poll has forecast growth to slump to its lowest in nearly two decades this year.
Friday's stock market turnover was 261.5 million rupees ($1.48 million), less than this year's daily average of about 543.9 million rupees. Last year's daily average was 834 million rupees.
Foreign investors sold a net 131 million rupees worth of shares on Monday, extending the year-to-date net foreign outflow to 6.06 billion rupees.