In an interview with several European newspapers, French Foreign Minister Laurent Fabius warned the "raison d'etre of Europe" was at stake, while the OECD grouping of developed countries said the continent had the capacity and an "obligation" to absorb migrants and refugees fleeing conflict and poverty.
Today's meeting in Brussels will see ministers discuss controversial binding quotas to relocate 120,000 refugees around the EU from frontline states after they failed to reach a deal last week, and ahead of a full summit of the bloc's 28 leaders tomorrow.
Calling for adequate reception facilities in countries on the frontline, UNHCR spokeswoman Melissa Fleming said: "We're talking about an average of 6,000 people entering every single day on European shores."
On the eve of the talks, UN chief Ban Ki-moon urged leaders across the EU to "show leadership and compassion" as the continent grapples with the unrelenting wave of migrants, many of them refugees like Abdullah, a 35-year-old Syrian father of two from war-ravaged Aleppo.
More From This Section
Greek Prime Minister Alexis Tsipras meanwhile called for responsibility to be shared, saying "otherwise there is no point in talking about a united Europe".
More than 430,000 people have already braved dangerous sea crossings and arduous land treks to make it into western Europe this year, heaping pressure on countries along the migrant trail, some of which have closed their borders, while others have diverted the flow elsewhere.
Germany champions a relocation plan that would force EU member states to take in a pre-determined number of migrants and refugees, but many countries in eastern Europe reject binding quotas.
Sources in Brussels said EU ministers were considering a watered-down plan that would drop binding quotas and leave Hungary out of the scheme, as it refuses to be part of it.
Budapest has taken the toughest stance on the crisis, erecting razor-wire barriers along its borders with Serbia and Croatia in a bid to keep migrants out, and broadening the military's powers.