Laura Robson set up a second-round match against former world number one Caroline Wozniacki in Eastbourne after claiming her first grass-court win of the year.
The British number one served impressively as she beat Ukrainian qualifier Yulia Beygelzimer 6-3 6-2 in her opening match at the Aegon International.
Elena Baltacha earlier continued her good run of form with a 7-5 7-6 (7-3) win over Kristyna Pliskova.
However, there were defeats for fellow Britons Johanna Konta and James Ward, and top seed Agnieszka Radwanska.
Robson, 19, faces a rematch against Wozniacki on Wednesday, having lost to the Dane in the first round of the French Open last month, and the Briton is likely to pose a bigger threat on grass.
"Obviously it's a different match," said Wozniacki.
"I'm sure she likes the grass better than the clay. She can serve very well, and she's going for it from the first ball. Definitely it will be a different match-up."
Robson said: "I think we both prefer grass. I think in general I play better on grass than on clay, so I'm looking forward to tomorrow.
"There's definitely things that I can do tomorrow that I messed up a little bit on in Paris."
Robson's serve let her down at times during a run of indifferent results following the Australian Open, but it was in fine working order against Beygelzimer, the world number 187.
An early double-fault led to the Briton facing two break points, but she saw them off with aces and was hardly threatened again.
Successive backhand and forehand returns gave her the only break of the set in game six, and she wrapped it up with a flowing forehand winner.
The same shot gave her an early break in the second as her power began to tell and, consistently serving at around 110mph, Robson eased through to win in 61 minutes.
"I've worked on [my serve] a lot in the last couple of weeks," said Robson, who began working with coach Miles Maclagan earlier this month.
"It was just a little bit better in Birmingham and a little bit better again today. It's something that's just going to take time, and I have to have more matches like this to feel confident.
"Especially when you're in a tight position in a match, you want to rely on your serve."
Wozniacki, the world number nine, went through when Austria's Tamira Paszek retired with a thigh injury after dropping the first set, while Radwanska lost 7-6 (7-2) to American qualifier Jamie Hampton.
Second seed Li Na beat Alize Cornet 6-2 6-4 in a match which was interrupted when a spectator fell on the stairs and required on-site treatment from paramedics.
Baltacha racked up her sixth consecutive victory, after winning the title in Nottingham last week.
"I think Nottingham did help confidence-wise, knowing that I can push my body day in, day out," said the Scot, who is ranked 185 as she makes her way back from a foot injury.
Fellow Briton Konta went down 6-4 6-3 to Su-Wei Hsieh of Chinese Taipei, while in the men's event Ward lost 6-3 6-4 to Australian Bernard Tomic.