Brighton left it late to beat bottom-of-the-table Leicester at the Amex to go above Tottenham into third.
Substitute Maisie Symonds curled a free-kick over goalkeeper Kirstie Levell in injury time to give the Seagulls a 1-0 win.
The Foxes are pointless from seven games despite another valiant effort from Jonathan Morgan's side.
Everton picked up their first point under new manager Jean-Luc Vasseur as they drew 1-1 with Manchester United.
Ella Toone put the Red Devils ahead in the first half with her third goal of the season, but Simone Magill levelled in the 76th minute when she capitalised on a mix-up between goalkeeper Mary Earps and defender Maria Thorisdottir to bundle the ball over the line.