Hundreds of security forces sealed off and surrounded the Red Mosque, long seen as a refuge for Islamic militants in the Pakistani capital, and the home of a religious leader, Maulana Abdul Aziz, preventing his followers from staging the gathering.
The clerics vowed to try again next week, having already launched blasphemy charges in the Islamabad High Court against five bloggers, who were held for nearly three weeks in January.
Before their release, hard-liners raised the accusations of blasphemy. Abdul Aziz' son-in-law and follower, Salman Shahid, went to court to charge all five bloggers with blasphemy. The five have since fled the country after also receiving death threats.
Amid the hearings in the court case, Prime Minister Nawaz Sharif's government launched a campaign in an effort to rid social media of any content considered insulting to Islam at least any posted by Pakistanis.
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Earlier, Interior Minister Chaudhry Nisar Khan said a Facebook delegation was expected in Pakistan within weeks.
Meanwhile, the Center for Inquiry, a US-based advocacy group, appealed to Facebook not to consider the censorship demands by Pakistani authorities.
As well as writing a letter to Facebook, Michael De Dora, of the advocacy group, said members of his organisation are also taking their concerns about Pakistan's online crackdown to the United Nations and Washington.
Haroon Baloch, of the Islamabad-based think tank BytesForAll said social media are also widely used by those espousing harsh and exclusive interpretations of Islam. Platforms like Facebook are used to attack Shiite Muslims as well as adherents of minority religions in Pakistan such as Christians and Hindus.
While Pakistan has ordered shut more than 900 web addresses linked to banned religious groups, Baloch said many still maintain social media platforms like Facebook, where they spew hate and even raise funds.