Every time I heard stuff about "excess wealth" and "wealth redistribution", I recall Communists and their approach to the matter. That is, robbing many people (including my ancestors, we still haven't got any of it back) from their land, their factories, their tenement houses, and then giving it all to the "state", which usually proceeded to drive it all into the ground, evict the inhabitants and fire the workers. There's no such thing as "excess wealth", private property should be sacred, like in the US. If someone is trying to apply for social benefits while carrying wads of cash on his back, the proper course of action is to tell him to scram and come back after he is in a real need. Such "refugees" should try to make a living in a regular way, like every other person. If they run out of valuables while trying to do so, they may then apply for welfare.
IMO, the whole welfare system in most European countries needs to be redesigned to be less prone to exploits. It should only give you enough to sustain you while you're looking for a job. If you stop looking, you stop getting money (IIRC, Poland does just that). It shouldn't be enough to live too comfortably, or more than one could earn in the crappiest jobs available. Also, criteria for applying for support should be tightened. This apply to regular citizens, not only to refugees.