Singapore shares closed 0.38 percent lower on Monday, as Greece vote results raised fresh concerns of instability in Europe.
Greece's Syriza party promised to roll back austerity measures after sweeping to victory in a snap election, putting Athens on a collision course with international lenders.
Meanwhile, investors will watch the U.S. Federal Reserve's two- day policy meeting from Tuesday, expecting the central banker to reveal little of any firm date for it plans to raise rates.
"We expect this week, the Straits Times Index may attempt to break 3,450 points given the strong stimulus effect from Euro-zone, " Voyage Research said.