However, the European Commission, the executive of the 28-nation EU, said that it was not aware of such talks and that Brussels would never adopt Australia's model of turning back these boats.
Another 5,800 migrants desperate to reach Europe were rescued this weekend as they tried to cross the Mediterranean, more than 2,150 of them yesterday, the Italian coastguard said.
The number rescued was one of the highest recorded in recent years, raising fears that the tide of people risking their lives to reach Europe from Africa and the Middle East has not been slowed by recent drownings.
"Obviously, Operation Sovereign Borders is an object lesson in how to do the right thing by everyone," he added, referring to Canberra's military-led response to boatpeople.
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"To do the right thing by our people and ultimately do the right thing by poor, misguided people who for all sorts of reasons want a better life but very often end up dead if they succumb to the lure of the people-smugglers.
But Commission spokeswoman Natasha Bertaud said in Brussels that she was "not aware" of any European-Australian contacts on asylum seekers.
She said "the European Union applies the principle of non-refoulement," or no forced return under international law.
"We have no intention of changing this. So of course the Australian model can never be a model for us," Bertaud added.
Abbott's conservative government introduced Operation Sovereign Borders after coming to power in September 2013, aiming to turn back boats carrying asylum-seekers before they reach the continent.
The nation has gone nearly 18 months with virtually no asylum-seeker boat arrivals and no reported deaths at sea, although human rights advocates say it violates Australia's international obligations.