European Parliament President Antonio Tajani on Wednesday said Zuckerberg had accepted the EU institution's invitation to travel across the Atlantic and face lawmakers in person as soon as next week.
The private, closed-door meeting will likely focus on how Facebook handles its users' data.
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Tajani said: "Our citizens deserve a full and detailed explanation".
"I appreciate that Mark Zuckerberg has made a decision to present himself in front of the representatives of 500 million Europeans", he said.
The Digital, Culture, Media and Sport Committee said that Alexander Nix had accepted its summons. "There should be no double standards for the U.S. Congress and the European Parliament", - stated the co-Chairman of the faction "Greens - Free Alliance of Europe", Philippe Lamberts. "The Committee will use the opportunity to address numerous inconsistencies in his previous evidence", Damian Collins, the committee's chairman, said in a statement.
Collins added: "Following reports that he will be giving evidence to the European Parliament in May, we would like Mr Zuckerberg to come to London during his European trip".
The president of the ALDE liberal group, Guy Verhofstadt already said he would not attend the meeting if it was behind closed doors.
But the decision to hold the meeting with the European Parliament behind closed doors has angered others.
Facebook admitted earlier this month that up to 87 million users may have had their data hijacked by British consultancy Cambridge Analytica, which worked for US President Donald Trump during his 2016 campaign.
Justice Commissioner Věra Jourová was admonished by Tajani when she said it was a pity the hearing would not be public.
He might get tougher questions in Brussels, where an assertive new European data protection law comes into effect on May 25.
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