Exxon holds its annual shareholder meeting on Wednesday and investors have the option of changing their votes until then.
The International Energy Agency (IEA) has said investors should stop funding new fossil fuel projects if they want to cut greenhouse gas emissions by 2050.
Takeda Pharmaceutical was up 0.16 percent at 3,774 yen after reports said Japanese authorities will likely this week approve the use of Moderna Covid-19 vaccines, which the Japanese firm will import.