https://developer.android.com/topic/instant-apps/ux-best-practices.html#keep_user_state_after_app_installation
I want to
UPDATE They’ve again updated the Instant Apps FAQ on how to do this.
For devices running Android 8.0 (API level 26) or higher, the instant app's data is transferred automatically when the APK installation begins, if the installed app is configured to use targetSandboxVersion 2.
For installed apps not configured to use targetSandboxVersion 2, or devices running Android 7.1 (API level 25) or lower, please consider using the Cookie API (Sample) or Storage API (Sample) to transfer the data.
For Oreo 8.0 and higher, it should be automatically handled.
But for 7.0 and below, you've got 2 options (#1 is recommended):
The FAQ lists a sample for each option:
The Storage API/ZIP sample does not show you how to parse the ZIP files and what file type/format to expect from SharedPreferences files, so you'll have to implement that yourself, but here are some related posts: