Spain's Pablo Carreño qualified for the round of 16 at Indian Wells on Monday after defeating Russia's Daniil Medvedev, while the US' Venus Williams beat sister Serena in their 29th career match against each other to also make it to the last 16.
11th seeded Carreño beat his opponent 6-1, 7-5 in one hour 29 minutes to set up a clash with South Africa's Kevin Anderson, who defeated Argentina's Nicolas Kicker 7-6 (1), 7-6 (3) in the third round.
The winner of that match will meet either Taylor Fritz or Borna Coric in the quarter-final round.
Uruguayan Pablo Cuevas also advanced to the round of 16 after Dominic Thiem retired with an ankle injury in the third set.
Cuevas will now meet Korean Hyeon Chung, who beat Tomas Berdych.
Spaniards Bautista and Fernando Verdasco both suffered defeats at the hand of Borna Coric from Croatia and Taylor Fritz from the United States respectively.
In the women's draw, Venus Williams defeated sister Serena 6-3, 6-4 in one hour 27 minutes to qualify for the round of 16 of the tournament, where she will meet Anastasija Sevastova from Latvia.
Spain's Carla Suarez also reached the round of 16 after a surprise win against Ukraine's Elina Svitolina 7-5, 6-3 in one hour 29 minutes.
The Spaniard will now face American Danielle Collins, who defeated Russian Danielle Collins in the third round 6-4, 6-4.