Kelly Brady scored both goals as Glasgow City twice came from behind to share the points with Hibernian at Meadowbank in the SWPL.
Libby Smith crashed home a shot from long range after just five minutes.
Howerver, Brady struck to level soon after, finishing off a clever pass from Lisa Evans.
The hosts were then forced into a change of goalkeepers when Rowena Armitage replaced the injured Ariana Anastasiadis.
Jess Fitzgerald restored Hibs' lead before the interval, forcing the ball in from close range after a double save from Lee Gibson.
Brady's second goal arrived on the hour as the striker picked her spot from six yards
Armitage was the busier of the goalkeepers as the visitors pressed, while Scarlett Herron made a goal-line clearance to keep out a Lisa Forrest header.
Both teams move on to seven points from four matches, behind Celtic and Rangers in the table.
