The 28 leaders are expected to back steps including helping the Libyan coastguard to cut the number of migrants making the dangerous sea crossing from north Africa to Italy.
But they will also, without Prime Minister Theresa May, discuss the future of the bloc at a key turning point with Britain set to leave, and an increasingly difficult geopolitical situation with the new US administration.
French President Francois Hollande lashed out at Trump, who has predicted that other countries will follow Britain out of the EU and branded the transatlantic NATO military alliance obsolete.
German Chancellor Angela Merkel meanwhile said the best way for the EU to deal with a US administration that seems ambivalent to Europe is to push forward with its own plans.
"I already said that Europe has its destiny in its own hands," Merkel told reporters as she arrived in Valletta. "That is why for me, talks about Europe are here in the foreground and not to deal with other parts of the world."
The leaders are expected to approve a new strategy to "break the business model" of traffickers who helped 181,000 mainly African migrants enter the EU via Libya and Italy last year.
The plan involves funding and training the Libyan coastguard to make it better able to intercept migrant boats before they reach international waters, and helping neighbouring countries to close routes into Libya, according to a draft statement seen by AFP.
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