Johanna Konta reached round three of the Miami Open but fellow Briton Kyle Edmund was beaten by Novak Djokovic.
Konta, the 24th seed, saw off Montenegro's Danka Kovinic 6-4 6-2 to set up a third-round meeting with Russian qualifier Elena Vesnina.
Edmund lost the first four games but fought back before world number one Djokovic prevailed 6-3 6-3.
"I felt like I did put my game out there and tried to play some aggressive tennis," said Edmund.
"At points it worked, it shows I can be aggressive, but at times I need to find the balance.