Christos, if it doesn't have a button, or a hole , then i don't think there is a way to update it without opening it up. If it uses an ATMEL chip (AT90USBXXXX) then , its possible to enter DFU mode by touching 2 pins to ground, its safer to use 2 diodes when doing this ,so not to cross the 2 pins themselves, but bring them both down to ground. Also safer to use a resistor on one of those pins , but if you don't plan on updating frequently, you could do it as 1 time with just wires.
Probably not what you wanted to hear , sorry. I can provide more help if you do manage to open it up , and identify the chip , and maybe post pictures of the board. I could be possible that although there is no reset button installed, the board as the traces which could make updating the chip a bit simpler, although you need to open it. Maybe if it has the traces , you could add the button(s) yourself...
Edit: just saw you posted links to pics, waiting for approval then i'll post more.
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