You will not be able to do this with the libgdx API because this is more closely related to how android handles preferences.

Internally, libgdx uses [android.content.SharedPreferences][1] to store the preference data. You will have to write android code to make the preferences globally readable and then you will be able to access it across applications. An example of how to do this can be found on a stackoverflow question [here][2].


  [1]: http://developer.android.com/reference/android/content/SharedPreferences.html
  [2]: https://stackoverflow.com/questions/6030321/android-retrieving-shared-preferences-of-other-application