The interview came as Austrian authorities began constructing an anti-refugee barrier across the Brenner Pass along the country's border with Italy.
"What you have got in the EU is the lack of a central government. In fact, they decided at one stage that they were going to take refugees and now they are pushing them back and they have got a new deal with Turkey. But the refugees are still coming anyway," Donnelly said.
Separately, he remained cautiously optimistic about an agreement clinched between the EU and Ankara to return "irregular migrants" from Greece to Turkey; the document came into force on April 4.
"As far as the EU-Turkey deal is concerned, it remains to be seen how well it is going to function, and we are not quite sure [of its efficiency]. The proof is in the pudding, as they say in English," he said.
The construction of the anti-refugee barrier is seen by experts as a preemptive response to the anticipated flow of refugees trying to enter Austria from Italy, after the Balkan migrant route was closed.
Over the last few months, the number of refugees arriving in Italy has risen sharply. On Tuesday, the Italian coastguards said that they had rescued some 4,000 migrants, crossing the Mediterranean, over the past two days. According to UN estimates, almost 20,000 migrants have crossed the Mediterranean to Italy so far this year.