By 'Reboot Fibaro' if you mean remove the supply of the module and reconnect it, yes i tried that. It did not help.
OK. Yes, that is what I meant.
Only when tapped on the module slightly it started working again.
I also observed some type of arcing inside of the Fibaro module - in the internal relay - whenever I turned on the lights. This happened only with LED load which used a 230V to 12V SMPS. Not with CFL or Fluorescent Tubelight.
In that case I agree that it have to do with your SMPS and the way it behaves when turning on/off. I think you are right that there is a in-rush current that's quite a bit higher than the constant load current (which would be quite small). Perhaps this current is higher than the rating of the relay?
In that case, I think you have to try to limit the in-rush current by some means. If you don't use the other relay for something, you could have a resistor in series with the SMPS on one relay contact and a direct connection on the other. By switching them on in sequence, you would reduce the in-rush.
You could of course try another power supply.
As the Fibaro has a separate input (apart from the L terminal), another option would be to use the relay on the low voltage side, but I presume your cabling isn't prepared for that.
You might also try a Fibaro Dimmer, as that one does not contain a relay.