Just days after releasing the Galaxy S3 in Europe and parts of Asia, and before getting it out in the US, Samsung has already issued not one, but two OTA (over-the-air) updates for their new flagship phone.

The first of the two upgrades weighs in at 31.17 MB, according to a SlashGear report, but only 9 MB, according to the guys at Phone Arena, and its changelog only mentions “improved stability” as software tweaks and/or improvements.

To get the update, you only have to access the Android settings menu in your Galaxy S3, tap “About Device” and then “Software Update”. A message will pop up if you perform a manual check, and the new software package should be up and running in a matter of minutes, depending on your network connection speed.

After downloading the first update, you should get another prompt message for a second OTA upgrade weighing in at another 15.57 MB (or less, depending on your phone’s initial configuration). This second OS update comes with the same “thorough” changelog mentioning just “improved stability” at details about the new software package.

The S3 updates might depend on your location and exact S3 model number, so if you’re unable to download and install any of the two firmware upgrades, don’t worry too much and give it some time. Also, if we are to trust Ben Kersey from SlashGear, who has installed both updates and has played around with Samsung’s new flagship phone for a while, there aren’t any “radical” software changes or improvements to report. Then again, that shouldn’t come as a surprise, considering the fact that we haven’t yet seen anything wrong with the Galaxy S3’s OS.

The new S3’s build number after installing both updates should be “I9300BUALF1.DM” and, if you happen to bump into any kind of visible changes, upgrades or improvements on your spanking new phone, please drop us a comment below and let us know.

Also, has anyone been complaining about S3’s stability that Samsung felt the need to roll out these updates, or are these simple precautions taken to ensure everything runs as smooth as possible?