Hopes gathered momentum that global policymakers would introduce further stimulus to prevent a sharp economic slowdown, after countries including China and Germany proposed steps to prop up flagging economies.
Market participants, however, kept a cautious stance ahead of the release of minutes from the U.S. Federal Reserve's July meeting and Chair Jerome Powell's speech at the Jackson Hole symposium this week.
Singapore shares <.STI> hit one-week highs, boosted by real estate firms. CapitaLand Ltd gained 2% and Hongkong Land Holdings added 1.6%.
Malaysian shares <.KLSE> rose to more than one-week closing highs, with lender CIMB Group Holdings gaining 2.8% while telecom firm Axiata Group added 0.8%.
Vietnam stocks <.VNI> gained for the fifth straight session, with real estate developer Vinhomes JSC jumping 3%.
Thai shares reversed course to close 0.7% lower as the finance ministry cut its 2019 economic growth forecast to 3% from 3.8% projected in April, due to falling exports.
Thailand's customs-cleared trade data is due on Wednesday, with annual exports seen falling 2.3% in July after a 2.15% drop in the prior month, according to a Reuters poll.
Philippine equities <.PSI> shed 0.7%, with fast food chain Jollibee Foods Corp declining nearly 4% while snack and beverage maker Universal Robina Corp slipped 2.6%.
"Investors took profits from yesterday's (Monday) run-up, sending the bellwether index down," RCBC Securities said in a note.
(Reporting by Niyati Shetty in Bengaluru; Editing by Subhranshu Sahu)
By Niyati Shetty