EU foreign policy chief Federica Mogherini will brief the 15-member council on Monday on the European Union's plans to stem the flow of migrants who are at the mercy of human traffickers.
The European Union is looking to the Security Council for endorsement of a plan which could involve military action against boats operated by traffickers.
Security Council members Britain, France, Spain and Lithuania are working with Italy on a draft resolution that would endorse the EU plan.
Italy has renewed its appeal to the EU for help in managing a relentless surge of migrant arrivals, after around 40 migrants died when their inflatable boat sank off the coast.
Survivors of the tragedy reported 137 people were on the vessel when it either deflated or exploded shortly before a spate of rescue operations this weekend that saw the Italian navy and coastguard save almost 6,000 people on the sea.