European Union leaders have pledged to fast-track the establishment of an EU border and coastguard force.
It came at a summit where they again urged each other to implement measures agreed this year to curb migration across the Mediterranean.
They said they would agree on the details of the new border force, which was proposed by the EU executive earlier this week, by the middle of next year.
Some leaders, including Greek Prime Minister Alexis Tsipras, made clear, however, that they wanted to strike out a controversial element of the proposal which would give Brussels power to send in EU border guards without a country's consent.
Summing up the three-hour discussion, the summit chairman, European Council President Donald Tusk, said leaders had agreed there was a "delivery deficit" in making good on a series of measures agreed over recent months to stem chaotic movements that have put Europe's Schengen open-borders area in jeopardy.
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"Over the past months, the European Council has developed a strategy aimed at stemming the unprecedented migratory flows Europe is facing," the final agreement read. "However, implementation is insufficient and has to be speeded up.
"For the integrity of Schengen to be safeguarded it is indispensable to regain control over the external borders."
Greece and Italy are under pressure to do more to manage and identify those arriving - a million or more so far this year - while governments in general have yet to make good on promises to help take in asylum seekers and deport unwanted migrants.
There are only two fully operational "hot spots" for screening of migrants arriving to Italy and Greece from 11 that are supposed to be set up.
Only about 200 migrants who have already arrived to the two states were relocated to other EU countries under a deal that is intended to cover 160,000.
Greece and Italy have been overwhelmed by the arrivals and shift the blame on other EU members for encouraging the flows or not offering the right assistance.
