Nathan Smith�s first half strike was cancelled out by a 93rd minute equaliser from City substitute Rhys Booth.
Mark Matkovic was a rock in the Uni defence, winning everything in the air for the home side while Eddie Tikoft was also outstanding.
Curtin dominated early proceedings and were rewarded when Smith scored his second goal for the season to give the home side a 1-0 lead which they took into the break.
Both teams probed for much of the second half in a bid to either kill off the game or find a way back in.
It was City who found the breakthrough late in the game as they scored the equaliser in the third minute of added time with Booth putting the ball into Curtin custodian Ranjeet Sekhon�s net from a set piece.
Curtin coaches Kevin Burton and Campbell Ballantyne will have some decisions to make before next week�s clash away to Balga.
Khaled Salhah, Robbie Nicholl and Rory Patterson as well as keeper Mackenzie Ferguson are all performing well for the reserves and have all put their hand up for a first team call-up.