The issue is failed Schengen, Prologos. Per Schengen rules, first country where the refugees will appear will be primary responsible for registering them. In that case it is Greece. However, Greece is dumping that problem into Balkans by literally ferry the refugees from islands into Thrace where they pour into Hungary. Hungary is totally overwhelmed as country cannot cope with +100,000 refugees. Refugees doe not want to stay in Central Europe, but want to go where they get better benefits and more money: Germany, Sweden, UK, France, Netherlands, and Denmark. When I was in Prague couple days ago, there were two refugee riots; another one in eastern Slovakia two weeks ago. Every day, hundreds of refugees are pouring from Hungary to Slovakia to Czech Republic to reach Germany. Central Europe is not stupid and wait until Germany closes border and lets hundreds of thousand migrants stuck there at the same time, when Czech Republic and Poland is already hosting tens of thousand refugees from war-torn Ukraine.
The exodus is not Visegrad problem; they did not create it, the refugees do not want to stay there, and EU is doing nothing to stop it. If Frau Merkel wants to have 800,000 refugees, Visegrad is happy to deliver to them (which will be materialized by unloading refugees at rail crossing at Bad Schandau in Saxony within next several weeks before winter settles in). Czechs, Poles, Slovaks, and Hungarians will not carry burden for something Western powers had created. Yesterday, Austrian government blocked roads from all its eastern neighbors, creating backups miles long. Nonetheless, arrogant Austrian witch minister, Johanna Milk-Leintner is threatening all Eastern Block to withhold all EU funds to them (btw, all countries including Czech Republic and Poland are contributing to them). Austria should realize that Hapsburg monarchy had failed 97 years ago and any confrontation with NATO states would not go too well for them. All four states knows that Germany and Austria wants shift problem into Central Europe and accuse them for mistreating the refugees, while covering their own asses.