Vienna: Around 2,000 refugees have arrived at Austria’s border from Hungary, and the numbers could more than double through the day, Austrian police said on Saturday.

‘Our biggest problem is that the Hungarians — after checking back with Budapest — are refusing to let our buses enter their territory and pick up the refugees,’ said Hans Peter Doskozil, chief of the police in the Austrian province of Burgenland.

‘We offered them that they can bring the refugees directly to the trains, or to the shelter (on the Austrian side), but they just stop the buses on the Hungarian side, everyone has to get off in the rain.’

Two special trains taking migrants from the Austrian border town of Nickelsdorf to Vienna were about to depart, he added. The highway was blocked for all traffic into Austria.

After days of confrontation and chaos, Hungary’s right-wing government deployed dozens of buses to move on migrants from the capital, Budapest, and pick up over 1,000 — many of them refugees from the Syrian war — walking down the main highway to Vienna.

Austria said it had agreed with Germany that they would allow the migrants access, unable to enforce the rules of a European asylum system brought to breaking point by the continent’s worst refugee crisis since the Yugoslav wars of the 1990s.

Wrapped in blankets against the rain, hundreds of visibly exhausted migrants, many carrying small children, climbed off buses on the Hungarian side of the border and walked in a long line into Austria, receiving fruit and water from aid workers.

‘We’re happy. We’ll go to Germany,’ said a Syrian man who gave his name as Mohammed.

Hungary cited traffic safety for its decision to move the migrants on. But it appeared to mark an admission that the government had lost control in the face of overwhelming numbers determined to reach the richer nations of northern and western Europe at the end of an often perilous journey from war and poverty in the Middle East, Africa and Asia.

On Friday, hundreds broke out of an overcrowded camp on Hungary’s border with Serbia; others escaped from a stranded train, sprinting away from riot police down railway tracks, while still more took to the highway by foot led by a one-legged Syrian refugee and chanting ‘Germany, Germany!’

The scenes were emblematic of a crisis that has left Europe groping for answers, and for unity.

By nightfall, the Keleti railway terminus in Budapest, for days a campsite of migrants barred from taking trains west to Austria and Germany, was almost empty, as smiling families boarded a huge queue of buses that then snaked out of the capital.

The migrants left shoes, clothes and mattresses scattered behind them. Helicopters circled overhead.

Austria’s Red Cross said it expected between 800 and 1,500 people to arrive in its refugee reception centre of Nickelsdorf at the Hungarian border overnight.

‘Because of today’s emergency situation on the Hungarian border, Austria and Germany agree in this case to a continuation of the refugees’ journey into their countries,’ Austrian Chancellor Werner Faymann said on his Facebook page.

‘It is victory’

Even as the buses arrived to collect them, some migrants remained suspicious, mindful of how hundreds of their number had boarded a train on Thursday that they believed was heading to the border but was stopped just west of Budapest by riot police who ordered them into a reception camp.

‘They told us that the buses are going to the Austria border,’ said Ahmed, from Afghanistan. ‘I really don’t know if this is true or false. If it is true, it is great... If it is true, it is victory. Maybe we can find a way now.’

For days, Hungary has cancelled all trains going west to Austria and Germany, saying it is obliged under EU rules to register all asylum seekers, who should remain there until their requests are processed. Many have refused and several thousand had camped outside the Budapest train station.

On Friday, a crowd that swelled to over 1,000 broke away, streaming through the capital, over a bridge and out onto the main highway from Budapest to Vienna, escorted by police struggling to keep the road open. Some clutched pictures of German Chancellor Angela Merkel.

The turmoil contrasted with a pledge by Hungarian Prime Minister Viktor Orban to get to grips with a crisis he says threatens Europe’s prosperity, identity and ‘Christian values’; parliament on Friday tightened laws that his government said would effectively seal Hungary’s southern border to migrants as of 15 September.

Orban, one of Europe’s most outspoken critics of mass immigration, hailed ‘a different era’, but Friday brought more desperate scenes. A Pakistani man died, police said. State television said he had stumbled and hit his head as he ran down train tracks.

More than 140,000 migrants have been recorded entering Hungary so far this year through the EU’s external border with Serbia, where Orban’s government is building a 3.5-metre (11.5-foot) high wall. Countless others may have entered without registering.

Hungary says they have been spurred by Germany saying it would accept asylum requests from Syrian refugees regardless of where they enter the EU, contrary to EU rules.

On Friday, lawmakers adopted some of a raft of measures creating ‘transit zones’ on the border, where asylum seekers would be held until their requests are processed and deported if denied.

The measures introduce jail terms for those who cross the border without permission or damage the fence, and may eventually provide for the use of the army.