MadalinStroe: I'm not certain I understand, but here's what I think you're saying. You were playing a game. When you exited the game, you noticed Galaxy informing you that your save files are being synced to the cloud. At one point you suffered a HDD failure. Now you are getting a new HDD.
Install the new HDD. Install Galaxy, and allow it to install the game you were playing previously. Galaxy will also restore the save file it had last synced to the cloud. Once you start the game, you'll be able to load from these save files.
OK. It sounds like it will seamlessly happen. Yeah, I wasn't very clear but, you were close. I was shutting down the PC when the power failed so Windows didn't close correctly and it wasn't repairable. For whatever reason, due to a slow I-net connection, I couldn't download Win10 so, rather then send me a flashdrive, Alienware (Dell) decided to send a technician and replace the hard drive. No wonder Dell stocks aren't doing so well. :)