The SC, in October last year, had ordered a probe into the alleged use of the spyware.
WhatsApp remains committed to the protection of all user messages through the product we provide, the company said
The Centre had earlier filed a short affidavit on the matter.
The alleged use of the Pegasus software to spy on journalists, human rights defenders, politicians and others in a number of countries including India triggered concerns over issues relating to privacy.
'The attack prima facie constitutes an act of cyber-terrorism,' the petition stated, 'that has several grave political and security ramifications, especially considering that the devices of government ministers, senior political figures and Constitutional functionaries which may contain sensitive information have been targeted.'
TMC and other opposition party members rushed into the well of the House as Vaishnaw was called to make a statement over the issue.
Tharoor put the blame for the logjam in Parliament on BJP and accused the saffron party of reducing the "temple of democracy to a rubber stamp for its agenda or worse, a notice board to announce its unilateral decisions".
Citing national security, the Centre had refused to file a detailed affidavit in the matter.
The Supreme Court agreed to hear on Friday, instead of Wednesday, a batch of pleas alleging the use of Israeli spyware for surveillance of certain people in India, after taking note of the submissions of the solicitor-general that he would be busy arguing a money-laundering case in another court.
BJP members of the panel who were present in the meeting room didn't sign the attendance register in protest leading to a lack of quorum required for holding the meeting.
A bench comprising Chief Justice N V Ramana and Justices Surya Kant and Hima Kohli has listed as many as 12 PILs, including the ones filed by Editors Guild of India and veteran journalists N Ram and Sashi Kumar, for hearing on February 23.
According to WhatsApp, the spyware was developed by Israel-based NSO Group and had been used to snoop on about 1,400 users globally, including 121 users from India.
The hearing on as many as nine petitions, including those filed by the Editors Guild of India and senior journalists seeking independent probe into the alleged Pegasus snooping matter is presently on.
Opposition members, including from the Congress and the TMC, started raising slogans and showing placards to attack the government on the snooping issue as soon as the House met for the day at 11 am.
The committee has shared an online form consisting of 11 questions seeking comments of lay persons until March 31.
The Supreme Court on Tuesday issued notice to the Centre on a batch of pleas seeking an independent probe into the alleged Pegasus snooping matter, making it clear that it did not want the government to disclose anything which might compromise national security.
He said all his phones have been tapped and his friends informed by intelligence people that this is being done.
Freedom of press is an 'important pillar' of democracy, the Supreme Court observed on Wednesday and said the court's task in the Pegasus matter assumes great significance with regard to the importance of protection of journalistic sources and the 'potential chilling effect' that snooping techniques may have.
"NSO is a private company, it is not a governmental project and therefore even if it is designated, it has nothing to do with the policies of the Israeli government," Israel's Foreign Minister, Yair Lapid, said at a joint press conference with Prime Minister Naftali Bennett and Finance Minister Avigdor Lieberman at the Prime Minister's Office on Saturday evening.
The two-member commission will be headed by former Calcutta high court Chief Justice Jyotirmay Bhattacharya. Former Supreme Court judge Madan Bhimrao Lokur is its other member.
Three experts on cyber security, digital forensics, networks and hardware were roped in by the Supreme Court on Wednesday to "enquire, investigate and determine" whether Pegasus spyware was used for snooping on citizens and their probe would be monitored by former apex court judge R V Raveendran.
"Justice must not only be done, but also be seen to be done," the Supreme Court observed on Wednesday while declining the Centre's plea to allow it to appoint an expert committee to probe the allegations of use of spyware Pegasus for surveillance of certain people in India.
The Congress on Thursday attacked the Modi government over the issue, alleging that it had been "caught snooping". The Opposition demanded a Supreme Court-monitored probe into the "illegal hacking" of cellphones.
Pegasus, which is capable of attacking both Android and iOS, has been around for three years and is considered one of the most sophisticated spyware in the market.
Deposition of persons claiming to be 'directly affected' by alleged phone-tapping using Pegasus software will commence from December 13 before a two-man commission of inquiry set up by the Mamata Banerjee government, one of its constituents Justice (retd) Jyotirmoy Bhattacharya said on Thursday.
A bench headed by Chief Justice N V Ramana told Solicitor General Tushar Mehta, appearing for the Centre, that if the government re-thinks about filing a detailed affidavit in the case, he can mention the matter before it.
Indian democracy is under threat, senior Congress leader Rahul Gandhi said during a lecture at Cambridge University, claiming that several politicians, including himself, are under surveillance.
Creating a record, the CJI headed apex court collegium meetings led to appointment of 11 Supreme Court judges with nine of them, including three women, appointed in one go.
This episode highlights that the country's surveillance systems are not robust enough to ward off and prevent such attacks in the future.
The Supreme Court-appointed committees, entrusted with the probe of unauthorised use of Pegasus, have given a slew of recommendations including amending laws to protect citizens' right to privacy and ensure the nation's cyber security.
'India is respected by both Israel and Palestine.' 'India can push the international community for the peace process.'
Unlike Israeli company NSO, whose sale of Pegasus cyber tech grabbed worldwide attention, and other manufacturers of offensive-cyber products, Cellebrite operates in a grey area between security exports and civilian ones.
The standoff between the government and the opposition in Parliament has showed no signs of easing after it erupted on the opening day of the Monsoon session on July 19.
These users span across four continents and included diplomats, political dissidents, journalists and senior government officials.
More than 300 verified mobile phone numbers, including of two serving ministers, over 40 journalists, three opposition leaders and one sitting judge besides scores of business persons and activists in India could have been targeted for hacking through an Israeli spyware sold only to government agencies, an international media consortium reported on Sunday.
The government, however, dismissed allegations of any kind of surveillance on its part on specific people, saying it 'has no concrete basis or truth associated with it whatsoever'.
The video, which has been compiled using clips from RSTV, comprises statements made by the opposition MPs in the Upper House, with the words "farmer" and "Pegasus" in the opening lines.
NSO Group, an Israeli surveillance software company, has been under increasing attack following allegations that its Pegasus phone spyware was used for surveillance on journalists, activists and political leaders in several countries including India. NSO has denied any wrongdoing.
The IT ministry sources said they have received a reply from WhatsApp and are studying it, and that a view on it will be taken soon.
Dubey demanded the removal of Tharoor, alleging that he was using his position in a discriminatory manner.