Step 1: Find the Save
1. In Steam, right click Conan Exiles → Manage → Browse Local Files
2. Navigate to ConanSandbox\Saved
3. Your save file is the game.db file
Step 2: Upload your save to the server
1. Open the File Manager
2. Navigate to /server-data/
3. Upload game.db to the server and overwrite the game.db on the server
4. Restart your server and your save will load onto the server.