Japan's benchmark Nikkei 225 gained less than 0.1% to close at 53,429.56. Australia's S&P/ASX 200 rose 1.7% to 8,728.80. South Korea's Kospi advanced 0.8% to 5,494.78. The Shanghai Composite edged up 0.3% to 3,890.16. Trading was closed in Hong Kong for a holiday.

In energy trading, benchmark U.S. crude rose 38 cents to $112.79 a barrel. Brent crude, the international standard, added 23 cents to $110.00 a barrel. That remains well above its roughly $70 price from before the war.

Oil prices have been seesawing amid uncertainty over the war in the Middle East and how long it will slow the global flow of oil and natural gas. Iran on Monday rejected the latest ceasefire proposal and instead said it wants a permanent end to the war.