How to transfer data to local storage and upload it in later sessions?

Question

I want to save some pieces of data from the repository repository and download it again at later sessions for better user convenience. (I use Relay with a native response for context).

Data can be relatively large (up to several thousand records) and should not be 100% synchronized with the server. I want to save records in sessions, since I do not want to return data every time the user opens the application. This will be both a load for the server and a bad user interface (boot time).