Tánaiste Frances Fitzgerald and Minister for Children Katherine Zappone, are undertaking a three-day official visit to Greece to see first hand the effects of the migration crisis on both migrants as well as Greek society.
They are being accompanied by officials from both departments including the Director of the Irish Refugee Protection Programme, the Refugee Applications Commissioner and a child care Specialist.
By the end of this year, it is expected that 400 people will have arrived or been cleared for arrival to Ireland from Greece as part of an ongoing EU programme.
On Friday, EU officials said Eastern European Union states remain at loggerheads with "frontline" countries such as Greece and Italy over sharing the burden of caring for asylum-seekers reaching EU frontiers.
Largely uncontrolled arrival of some 1.4 million people from the Middle East and Africa in the past two years, many fleeing Syria's civil war, has triggered bitter EU infighting.
Dispute centres on how countries far from the main migration routes should help frontline peers like Greece, Italy and Malta.
"It is very important that there is a common agreement,which is what we still don't have now," said Slovak interior minister Robert Kalinak. "We need to work more with our colleagues from Poland and Hungary, and also Greece and Italy on the other side."
EU migration chief Dimitris Avramopoulos said it was vital that member states overcome their differences and agree on common rules on handing asylum-seekers to be prepared for any future spike in arrivals.
Nearly all of the 350,000 migrants and refugees to reach Europe's shores this year have arrived in Greece and Italy, with Italy becoming the main gateway to Europe this year.