The senator argued that the panel "should move quickly to hold a hearing on this incident, which has allegedly violated the privacy of tens of millions of Americans". Richard Burr won't commit to asking Zuckerberg to appear.
Zuckerberg has never appeared before Congress or the British Parliament, though other Facebook representatives have.
The company named Julian Malins, a well-known British commercial barrister, to lead an independent investigation into Nix's actions.
Protesters gathered outside the office, including Heiko Khoo, who compared the company to the Stasi from his time living in East Germany.
The data is suspected to be used in swindling the voters' mood in favour of Donald Trump ahead of the ahead of the 2016 US presidential elections, and bolstering the 'leave sentiment' in Brexit referendum of UK.
He said: "There's no evidence, there's no paper trail, there's nothing".
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Politicians worldwide are demanding Facebook explain how the data of millions of users were gathered.
The summons letter to 33-year-old Zuckerberg was sent by Damian Collins, the chair of the House of Commons Digital, Culture, Media and Sport Committee (DCMS), which is investigating the issue of fake news.
Britain's Cambridge University, where Kogan teaches, on Tuesday asked Facebook for all information it has about Kogan's relationship with Cambridge Analytica.
In an earlier statement Cambridge Analytica said it "strongly" denied "false allegations" in the media and said that the Facebook data at the centre of the scandal wasn't used as part of services provided to the Trump campaign.
Wylie, who used to work for Cambridge Analytica, explained his decision to reveal the data use in an interview with The Observer over the weekend. She says Facebook has agreed.
Denham first demanded access to the data held by Cambridge Analytica on March 7, the Information Commissioner's Office said in a statement.
Nix also was recorded by Channel 4 saying that Cambridge Analytica did not have to reveal to U.S. investigators anything about the company's foreign political campaign clients.
In footage shown by the channel, a reporter poses as a Sri Lankan politician wanting to influence a local election.
Oczkowski spoke at GABBCONN, a conference about how data collected from audiences can be leveraged for advertising, about working on the electoral campaign for Trump in 2016. It relates to the devious appropriation of personal social media info for political gain.