Austria and Germany are awaiting thousands more migrants to arrive from Hungary after Budapest eased restrictions on their travel.
Throughout Saturday, by bus, train and on foot, people travelled to the Austrian border before moving on to Vienna and Munich.
Austrian officials are laying on more trains as needed.
German Chancellor Angela Merkel is to hold talks with her coalition partners on a crisis that has divided the EU, reports the BBC.
After days of confrontation and chaos, Hungary opened its borders with Austria and bussed thousands of migrants to the frontier.
Up to 10,000 arrived at the border, according to the Austrian authorities, who have said they do not plan to limit the numbers crossing into the country.
Many travelled straight on to Munich, southern Germany, where locals greeted them with applause, giving sweets to the children among the new arrivals.
They have been sent on to reception centres to be registered and receive food and clothing.
Both Germany and Hungary have said the current measures are aimed at averting a humanitarian crisis, and will not set a precedent.
The rules requiring refugees to apply for asylum in the first country they land in “are still valid, and we expect other European Union member states to stick to them”, a German government spokesman said.
