Washington Post reporter Griff Witte details the events leading up to hundreds of migrants making the decision to walk 90 miles from Budapest to Austria on Friday. (Griff Witte and Ashleigh Joplin/The Washington Post)

They left their homes in war-torn Syria; were "stuck in squalid conditions" in Hungary for days; and then were forced to make a 100-mile journey, in part by foot and later by bus.

The asylum-seekers were met with blankets and tea handed out by Red Cross workers as they crossed into Austria on Saturday, but it only was a respite as they continued their journeys beyond the border.

[Read the full story: First waves of migrants reach Austria; thousands more gather in Hungary]

Tens of thousands are predicted to enter Austria in the coming days, and then will continue on to either Vienna or Germany. As The Post reports:

The confusion and desperation of the past week highlighted Europe’s inability to come up with a plan to deal with the growing wave of asylum-seekers, with Germany and Sweden opening their doors but many other countries barring them.

The Washington Post's Griff Witte, reporting from Hungary and Austria, has been at the scene, often traveling back and forth between the two countries. Here are some of his snapshots:

After days of trying to repel large groups of asylum-seekers into Western Europe and leaving them stranded at a train station, Hungarian authorities finally provided buses to Austria late Friday. The following day, though, the bus service stopped, and those making the 100-mile-long journey by foot protested, demanding rides.

Many are traveling with families, including small children.

As the asylum-seekers walked through Hungary to get to Austria, local residents waved goodbye.

When they finally arrived at the Austria-Hungary border, food awaited and they speedily grabbed what they could.

A dash for food on the Austrian-Hungarian border. People very hungry after a harrowing journey.

Posted by Griff Witte on Saturday, September 5, 2015

When the groups started arriving in Austria, they were received by the Austrian Red Cross. Andreas Zenker, a spokesman for the Austrian Red Cross, told The Post "[t]hey came in and they were injured. Small children with barely any food. It’s crazy.”

Many needed to seek medical treatment at a hospital but refused, as they were "determined to move on to Germany."

Read more of our coverage on the global refugee crisis:

First waves of migrants reach Austria; thousands more gather in Hungary

The Arab world’s wealthiest nations are doing next to nothing for Syria’s refugees

Black route: One family’s journey from Aleppo to Austria

New exodus: A global surge in migration