The high commission of India said the governments of both countries value strengthening strategic partnerships in trade, defence, science and technology.
Rishi Sunak, who apologised on Thursday for a "brief error of judgement", had uploaded the video to Instagram during a trip to northwest England. It was widely shared by other users who noticed that he had not buckled up.
Only five cabinet ministers, Jeremy Hunt, Suella Braverman, Michael Gove, Nadhim Zawawi and Kemi Badenoch, would be safe, The Independent report added.