Hi Annick,
It’s possible to add default values to your filters in the modeler.
If you want to the saved filter to be specific to what a user last entered, you will have to write some custom javascript or find a widget that does this. The only thing I could find in the appstore was the predefined filters but that wouldn’t be specific to a user. Another option would be to use the grid search Any search widget to track the current filters and store them so they can be loaded again.
https://appstore.home.mendix.com/link/app/45266/Mendix/Predefined-Filters
https://appstore.home.mendix.com/link/app/49364/Mendix/Grid-Search
Hope this helps!