Europe, particularly Germany and the Nordic countries, has taken hundreds of thousands of Syrians and various ME refugees in an unprecedented resettlement effort. Turkey and Lebanon have sizable resettlement camps. I think the UK and US have some latitude in accepting the odd lot while not forgetting that a legal precedent will be established.
One thing that is being willfully ignored is that the means exist of technologically monitoring an awful lot of people awful closely. Maybe we don't want or deserve it for ourselves, but if I was a refugee with honest intentions I'd welcome it.