It's definitely a strange behavior -the last one that you are saying- I saw that this thread was created on November 7th , have you had updates in this? Have you tried something else with your board? Let us know the actual status of your problem in order to help you out.
Thanks you for replying. My Galileo board is fully functional exect that I have to press the broken component for 13sec before starting.
Another issue I detected is that I can't update the firmware because the card doesn't want to restart automatically (I suppose this is linked to the broken component and the necessity to press it before starting).
I bought another Galileo for my project and I use the "broken" one to perform some tests.
Have a nice day.
I don't have the ability to open the board design files but it looks to me like the 32KHZ crystal http://www.mouser.com/ds/2/137/1697497-472682.pdf
I am sure that is used for the RTC. While there would be some difficulty, at least it is a largish two-terminal device so you might be able to repair it.
I don't know much about crystals but maybe pressing on it was enough to simulate ticks to cause the system to start.