Basically the game stopped saving any kind of saves after a while of playing
Did you try verifying local files? In the Steam library, right click on Divinity Original Sin and select Properties, switch to the Local Files tab and then click on the 'Verify Integrity of Game Cache...' button.
Are you shutting down all non-essential programs (especially anti-virus) before starting the game?
Have you moved or changed permissions for your My Documents folder? Do you have enough fre space left on the drive it is on? Usually either of those would produce an error message, though, rather than the save process simply not starting.
Try starting the game directly from the '..\SteamApps\common\Divinity - Original Sin\Shipping\EoCApp.exe' program file, by right clicking and running as administrator.
If you create a new profile and start a new game can you save and load?
If so, copy your latest save over from the old profile to the new one and continue from there. Each save is a folder in the '..\Documents\Larian Studios\Divinity Original Sin\PlayerProfiles\<ProfileName>\Savegames' folder.
If a new profile doesn't help, a cleaner test would be to browse to the '..\Documents\Larian Studios' folder and rename the 'Divinity Original Sin' subfolder.
This folder contains the saved games, configuration files and a level cache folder. Deleting or renaming it will get the game to recreate it on startup; playing the game from a different Windows user account would effectively do the same thing.
After that, start D:OS, create a new profile and see if you can start a new game and save/load. If so, exit and then copy a couple saves from the renamed folder into the newly created profile's savegames folder. If that lets you load the saves and re-save, move the rest of the saves over.
If that doesn't work either, delete the new My Documents D:OS folder and rename the original back again.
If that doesn't help, please email supportdos@larian.com, with a description of the problem and the report.zip file generated by the
D:OS support tool (for the PC version). The report will contain system and game information, as well as your saved games. To reduce the file size, you can delete all but one save from the zip, since the problem is not directly related saves themselves (unless possibly a new save is fine but an existing save in a recreated profile displays the same symptoms).