If you have FileMaker Advanced, you can set up a custom menu for the pop up window's layout where close window performs a script that closes the pop up window and then does a commit record or commit records | Refresh Window in addition to closing the window.
If you have FileMaker 12, you can also set up an "OnWindowClose trigger in File Options that performs a similar script, but in this case, your code has to check window names to be sure it should do the update steps.
I DO have advanced. Any good links out there or demo files demostrating this? I have never set up a custom menu.
Take a look at the layouts and custom menus set up with the Known Bugs List database. They don't refresh a window, but they do show how to set up a custom menu to be performed when a window is closed. You'd just need to include those added steps in the close window script.