After conceding in the opening few minutes, uni fought back through Luke Randazzo and grabbed the ascendancy in the second-half courtesy of Mordecai Junior, but a last-minute equaliser from Phoenix ensured the spoils were shared at WML Stadium.
It was a tough result to swallow for Michael Janssen's men who were on top for a large majority of the traditionally tricky fixture.
Phoenix began proceedings brightly and were ahead within two minutes, as Patrick Quinn capitalised on a smart flick-on from a precise long-ball over the top of the UWA defence.
Uni didn't let the early setback dampen their spirits, with the away side beginning to dictate play in the midfield.
The visitors were rewarded at the quarter hour mark, with Luke Randazzo continuing his goalscoring form following some fantastic build-up play from Mordecai Junior and Alex Kretowicz.
Uni continued their momentum into the second-half and gained the lead through Mordecai Junior, as the young winger found space on the left-hand-side and rifled into the roof of the net.
The Bunbury-based side were determined to level the ledger, with UWA's defence having to repel wave-after-wave of attacks, but held firm.
Just when it looked like Janssen's men would be taking all three points back to The Mac, disaster struck after Singh's attempted clearance was intercepted by Carlo Cheillini, who then found Lee Stewart free at the back post and placed the ball into the bottom corner.
Kretowicz was desperately unlucky to not grab a stoppage-time winner, with Phoenix keeper Adam Guthridge pulling off a superb reaction save.
Overall, despite the frustrating result, the point see's UWA climb back up to fifth after Rockingham defeated Ashfield 3-2 at Lark Hill.
Uni take on Gosnell's this Saturday in Round 20 at The Mac.