Date Dropdown Filter Auto Update

HI, Anonymous 

Now when you log out of Power BI and come back to a report, the same items will be selected as when you left.

So for your requirement, it couldn't achieve that set a default value(or maxdate) for a slicer.

https://ideas.powerbi.com/forums/265200-power-bi-ideas/suggestions/7162004-default-selected-slicer-or-tile-by-value-configura

and as a workaround, you add a column to judge if the date is max date then set it in visual/page/report level filter or create a measure do the same work. eg. https://community.powerbi.com/t5/Service/How-to-set-a-time-slicer-to-select-the-latest-date-in-default/td-p/319202

Best Regards,

Lin