How to remove absolute paths from the imported data ?

It happens that absolute paths are located in your databases records. To change them into relative paths, follow theses steps:

Export your database as an .sql file (use "Project | Export files and data..." if your database has already been imported in your OutSite-In project)
Edit the .sql file like any other text file to replace absolute paths by their corresponding absolute paths.
Save the cleaned-up .sql file
Re-import this file into your OutSite-In project