Manchester City claimed a 2-1 victory against Women's Super League champions Liverpool in their Continental Cup Group Two clash.
Isobel Christiansen hit the winner after Natasha Dowie had equalised City's early opener by Abbie McManus.
In the same group Everton beat Durham 3-0, while in Group Three Birmingham City won 2-0 at Aston Villa.
Chelsea's Rosella Ayane scored twice in a 4-0 victory over Millwall Lionesses and Watford won 3-1 at London Bees.
Continental Cup Group One
Chelsea 4-0 Millwall
Chelsea goalkeeper Christiane Endler had to make a fine save from defender Sophie Perry as Millwall looked for an early goal.
But the home side took control and striker Eni Aluko shot them in front after 37 minutes.
The lead was doubled in the final minute of the first half, midfielder Jodie Brett rounding goalkeeper Frankie Gibbs to tap the ball home.
Striker Ayese put the result beyond doubt with a goal from midfielder Dani Buet's 79th-minute pass.
And Buet was again the provider as Ayese completed the scoring three minutes from time.
London Bees 1-3 Watford
Watford bossed the first half and midfielder Sarah Wiltshire made the breakthrough with a cool finish from striker Magda Mosengo's 37th-minute pass.
Megan Wynne hit the second goal, turning in fellow midfielder Kate Natkiel's cross in first-half stoppage-time.
The Bees pulled a goal back through midfielder Taylor O'Leary's 71st-minute strike.
But after a good spell of pressure from the home side, Watford's victory was wrapped up with a Renee Hector header a minute from time.
Continental Cup Group Two
Manchester City 2-1 Liverpool
The Super League's newest top-flight team started the season slowly but they are beginning to look a real threat.
City lost 1-0 at Liverpool on their league debut and that defeat could have been heavier.
But they were thoroughly deserving of this Continental Cup win, set up by a stunning 25-yard strike by McManus after just five minutes.
Dowie equalised with a 20th-minute header and almost put the Reds in front with a shot that went narrowly wide just after half-time.
Christiansen regained City's lead in the 52nd minute, however, curling home a low 18-yard shot.
And the home side comfortably held on to their lead to complete what could prove to be a significant victory.
Everton 3-0 Durham
Everton were in control from the kick-off but took until the 39th-minute to take the lead through midfielder Kelly Jones.
Striker Simone Magill doubled the lead from close range after ex-Everton keeper Danielle Hill had blocked a 50th-minute shot by Jones.
And three minutes from time Lauren Davies marked her debut with a neat angled finish to complete the scoring.
Continental Cup Group Three
Aston Villa 0-2 Birmingham City
Two early goals set Birmingham up for a comfortable victory.
Striker Hannah Keryakoplis raced on to a pass from right-back Chelsea Weston to open the scoring in the seventh-minute.
Captain Karen Carney hit the post as Blues kept up the pressure.
And midfielder Moore found the net with a well-struck 25-yard drive in the 14th-minute.
WSL2 side Villa, up against their well established top-flight neighbours, rarely threatened to force their way back into the game.
And twice they almost went further behind as substitutes Kirsty Linnett and Kate Wilkinson both struck the post during the closing stages.