Andreeva, the 11th seed, hoped to continue her rise up the rankings with a strong showing in Miami but appeared to be hampered by injury as she lost to 17th seeded Miami resident Anisimova.
Andreeva received lengthy medical attention in her abdominal area when 2-1 down in the first set, which she lost 7-6 (7/5).
She bounced back, dominating the second set 6-2 but Anisimova won the third set of the two hour and 49-minute battle 6-3.
Anisimova will face Emma Raducanu in the fourth round, after the British player advanced when her American opponent McCartney Kessler retired injured in the second set of their encounter.
In the men’s draw, Novak Djokovic broke the record for the most ATP Masters 1000 match wins with his 6-1 7-6 (7/1) win over Argentine Camilo Ugo Carabelli.
The Serb’s 411th win at this level takes him past the previous record set by Nadal.
Belgian veteran David Goffin, who eliminated world number three Carlos Alcaraz in the previous round, fell to American Brandon Nakashima, who won 6-3 6-7 (5/7) 6-3.
Greece’s Stefanos Tsitsipas, who won his first title in over a year last month at Dubai, fell to 24th-seeded American Sebastian Korda 7-6 (7/4), 6-3.
“It’s awesome. I was born in Florida. My whole family is here. It’s just a lot of fun to play here and get my first Top 10 win of the year,” said Korda.
“I tried to serve well, tried to come to the net when I could, and I’m just happy with my performance today,” he said.
Bulgaria’s Grigor Dimitrov battled to a 6-7 (3/7), 6-4, 7-5 win over Karen Khachanov in a contest in which the baseline predictably dominated.
The 33-year-old’s victory, secured over two hours and 38 minutes, made Dimitrov the fourth active player to tally 100 Masters 1000 hard-court wins.
“It’s great. Last year I think I hit 100 wins indoors, now this. It’s beautiful I think every time you hit such a milestone,” said Dimitrov.
“We know each other very well, we practice with each other a lot, so there weren’t really secrets. At the end of the day, it came down to a few points.”
The 38-year-old Frenchman Gael Monfils delighted his supporters defeating Spaniard Jaume Munar 7-5, 5-7, 7-6 (7/1). (AFP)
