That’s kind of insane.
Obviously it is not “impossible” to integrate large waves of immigrants all arriving at once. The United States has done this for two centuries. Whatever undoubted problems the country faces today it’s not because Irish immigrants have refused to settle down and assimilate and share their own culture with those who were here. It is just something that cannot happen overnight.
The issue is it’s just very difficult. (That is not inherently a reason to turn them all back, however). Probably in the case of 21st-century Europe, it is more difficult than late-19th-century America because despite cultural and religious and linguistic differences the immigrants at that time (or emigrants from Europe’s point of view) were more culturally and religiously similar than one would think once the superficialities were stripped away; the differences in 2016 in Slovakia are perhaps a bit greater.
Should the country (any country) be forced to accept a wave of immigration? Probably not. But I think if a country collectively feels unable to accept people desperately asking for help, into the country, they can find another way to support them instead, and not just pull up the drawbridge and hope they go away. I hope the Prime Minister (and his counterparts in lots of other European countries) brushes the sand away from his neck and works in concert to find other solutions instead.