Anne Keothavong and Mel South are through to the second rounds in Hobart and Sydney respectively.
Keothavong, who is completing her Australian Open preparations at the Moorilla Hobart International, won her first round match on Monday.
The British No.1 impressively defeated the world No.25, Agnes Szavay of Hungary, 6-3 7-5 in 1 hour 25 minutes.
“Annie K played magnificently today in tough, windy conditions,” said Nigel Sears, Head Women’s Tennis Coach at the LTA.
"She had dominated the match to lead 6-3 4-1 but I was even more impressed with how she reacted at 5-5 in the second set after her opponent had come back at her strongly. Annie is looking more and more comfortable at this level.”
The 25 year-old, who attained a career high world ranking of No.53 when the new list was published on Monday, will now meet Virginie Razzano in Tuesday’s last 16.
Keothavong and Razzano have played each other on one previous occasion, the experienced Frenchwoman winning in the first round at Wimbledon in 2002.
Last week, the Hackney based player made it through to the ASB Classic semi-final in Auckland, eventually bowing out against Russian Elena Vesnina.
Meanwhile, Sarah Borwell, who reached a career high doubles world ranking of No.104 this week, has won her opening doubles match in Hobart with American partner Courtney Nagle.
The pair knocked out the No.2 seeds, Marina Erakovic of New Zealand and Monica Niculescu of Romania, 2-6 6-2 [10-8] to book a place in the quarter-final where they will face Czech duo Iveta Benesova and Barbora Zahlavova Strycova.
Keothavong is also competing in the doubles with Italian Mara Santangelo, the pair set to get their campaign under way on Tuesday against the top seeded sisters from Ukraine, Alona and Kateryna Bondarenko.
South qualifies and reaches second round in Sydney
Having come through the qualifying event at the weekend, Mel South received a straight forward passage into the Medibank International second round on Monday.
Facing Marion Bartoli of France, South played just two games before the former Wimbledon runner-up was forced to retire with a calf injury, the score standing at 1-1 in the opening set.
To book her spot in the main draw, the British No.2 had impressively won three qualifying matches without dropping a set, beating Uzbekistan’s Akgul Amanmuradova 6-4 6-2, Germany’s Kristina Barrois 7-5 6-0 and China’s Meng Yuan 6-2 6-3.
The 21 year-old will now face Caroline Wozniacki of Denmark in the last 16 on Tuesday. The world No.12 has three titles to her name and reached the fourth round at both the Australian Open and US Open in 2008.
On Sunday, South gained direct acceptance into the Australian Open main draw after reigning champion Maria Sharapova withdrew through injury.
South joins Keothavong in Melbourne next week, the first time since 1993 that two British female players have earned direct entry into a Grand Slam main draw.
Murray bows out in doubles first round
Also competing at the Medibank International in Sydney, Jamie Murray and new partner Dusan Vemic of Serbia bowed out in the doubles opening round against the Polish No. 4 seeds, Mariusz Fyrstenberg and Marcin Matkowski, 6-4 6-7(5) [2-10].
Meanwhile, Ross Hutchins and Australian Stephen Huss are set to play Germans Michael Kohlmann and Philipp Petzschner in the Heineken Open doubles first round in Auckland.
In 2008, Hutchins and Huss won the China Open title together in Beijing and reached a further two finals in Moscow and Lyon.