Firmware
The newest firmware can be always found here. Always pick up the newest one.
Windows
Install ST’s DFU program (login required). Run the program. A window will pop up:

Connect the stopwatch, and then turn it on holding the button pressed on. The stopwatch should then be recognized and it should show up in the combo box as depicted below. The screen does not lit up in this mode :

Pick a firmware file you want to use. The newest firmware can be always found here.

Simply click the “Upgrade” button:

Click “Yes” if the popup like shown below shows up:

Linux
Manjaro : install dfu-util and run it as so:
dfu-util -D receiver.dfu -a0