After receiving a first-round bye, Novak Djokovic joined Norrie in the third round after beating Australia’s Vukic 6-2 5-7 6-3.
The 24-time Grand Slam winner had not played at Indian Wells for five years but has won five titles there, with the 36-year-old’s most recent victory coming in 2016.
The California event was cancelled in 2020 because of the Covid-19 pandemic and Djokovic opted not to play in 2021 when it was moved to October, before being ruled out of the competition the past two years because unvaccinated foreigners were not permitted to enter the United States.
World number four Daniil Medvedev eased through as the Russian, who lost to Carlos Alcaraz in last year’s final, beat Spain’s Roberto Carballes Baena 6-2 6-3.
American Taylor Fritz, the 2022 champion, progressed with a 7-6 (7-2) 6-2 win over Chile’s Alejandro Tabilo while Norway’s Casper Ruud beat Slovakian qualifier Lukas Klein 6-4 7-6 (7-4).