The notice had gone out to Cambridge Analytica over media reports about questionable practices attributed to the UK-based firm in its efforts to allegedly influence elections by harvesting data of Facebook users globally.
Sources privy to the development said that Cambridge Analytica has now sought an additional time of one week to send its response to the notice issued by the Indian government.
Cambridge Analytica and Facebook came under fire after the British firm was accused of harvesting personal information of over 50 million Facebook users illegally to influence polls in several countries.
The government questioned Cambridge Analytica on whether it had been "engaged in any assignment to utilise data of Indians" pertaining to the recent breach, and also the entities that had used its services. Details were also sought on the methods used by the company to acquire such data and whether consent was taken from users.
An official statement issued last month had said: "Ministry of Electronics & Information Technology, Government of India, has issued a notice... to Cambridge Analytica, wherein the serious breach of propriety and misuse of data intended to profile and influence voting behaviour has been highlighted".
The government's notice to Facebook last week too sought information on user data breach and details of the measures that have been put in place to ensure safety and prevent misuse of personal data.
The ministry raised five questions for Facebook, including whether the personal data of Indian voters and users has been compromised by Cambridge Analytica or any other downstream entity in any manner.
Law and IT Minster Ravi Shankar Prasad has already warned the social media giant of "stringent" action for any attempt to influence polls through data theft, and had even threatened to summon its CEO Mark Zuckerberg, if needed.