Paramedics are attending to a casualty at Bicske station - just an hour after it was confirmed a Pakistani migrant had died at the terminal.
Migrants held at a camp in Roszke, near Hungary's border with Serbia, have broken through the barrier and clashed with riot police.
A group of about 300 migrants broke out of the Roszke camp earlier today but police apprehended and returned all of them.
US presidential candidate Hillary Clinton has urged the world to do more to help the flood of refugees fleeing violence in the Middle East.
"The entire world should come together. It should not be just one or two countries, or not just Europe and the United States," she told MSNBC.
"We should do our part, as should the Europeans, but this is a broader global crisis," she added.