The news of Hungary sealing its borders with Serbia sparked a lot of debate. I've seen claims they still let refugees through if they go to the official border crossings and fill out paperwork, and only those are rejected who refuse to register, claiming that those trying to sneak through or assault the police are only doing it to avoid registration. I've also seen many commenters who claim that migrants (in the train station crisis two weeks ago) were given temporary documents and they threw them on the ground because they refuse to register and refuse their personal identification to be taken, trying to hint to the claim that many are not real refugees.
However, reading some articles on a few major news sites like the BBC, I never found any mention of this option (to be allowed into the country if they agree to be registered), they just state that Hungary sealed its borders. The words "sealed the borders" and "closed the borders" seem to imply that no one is allowed through, not even legally.
As this is a controversial topic, please refrain from stating your opinion about the migrant crisis, no matter which side you are on. This question only seeks provable facts about whether Hungary allows refugees in if they consent to be registered. Is this claim true or not?