The world's largest social network is under fire worldwide after information about nearly 87 million users wrongly ended up in the hands of the British political consultancy, a firm hired by Donald Trump for his 2016 U.S. presidential election campaign.
European Parliament President Antonio Tajani last week repeated his request to Zuckerberg to appear before the assembly, saying that sending a junior executive would not suffice.
In his letter to the Facebook CEO, Tajani said the company should bear in mind that lawmakers play a key role in crafting tough rules governing online tech giants.
"Let me also stress that one of the Parliament's future priorities will be to reinforce the regulatory framework to ensure a well-functioning digital market with high level protection for our citizens," he wrote.
EU Justice Commissioner Vera Jourova, who recently spoke to Facebook Chief Operating Officer Sheryl Sandberg, said Zuckerberg should heed the lawmakers' call.
"This case is too important to treat as business as usual," Jourova told an assembly of lawmakers.
"I advised Sheryl Sandberg that Zuckerberg should accept the invitation from the European Parliament. (EU digital chief Andrius) Ansip refers to the invitation as a measure of rebuilding trust," she said.
Facebook did not respond to a request for comment. Zuckerberg fielded 10 hours of questions over two days from nearly 100 U.S. lawmakers last week and emerged largely unscathed. He will meet Ansip in San Francisco on Tuesday.
Another European lawmaker Sophia in't Veld echoed the call from her colleagues, saying that the Facebook CEO should do them the same courtesy.
"I think Zuckerberg would be well advised to appear at the Parliament out of respect for Europeans," she said.
Lawmaker Viviane Reding, the architect of the EU's landmark privacy law which will come into effect on May 25, giving Europeans more control over their online data, said the right laws would bring back trust among users.
(Reporting by Foo Yun Chee, additional reporting by Francesco Guarascio; Editing by Elaine Hardcastle and Adrian Croft)
By Foo Yun Chee