Brockie scored the equaliser for the Phoenix last night - picking the pocket of defender Steve Pantelidis before coolly rolling the ball home early in the second half - to become the club's top scorer with five goals.
His haul is doubly impressive because all the goals have come in November and all away from home.
All Whites' striker Shane Smeltz announced his return with a typically classy goal for Perth, scoring his first goal of the season with a clinical strike in the first half.
Smeltz - the A-league's all-time leading scorer - was in the starting line-up for only the second time this season due to injury, international duty and personal reasons, and made the most of a half-chance in the 60th minute, smashing the ball past Mark Paston from the edge of the box.
Glory coach Ian Ferguson saw the result as a lost opportunity and was disappointed in the way they gave away their lead.
"I don't think it was our best performance. I'm very disappointed overall,'' he said.
"We got ourselves into the lead and then we give away a silly goal in a manner that was pretty poor.''
The result saw Perth (11 points) slip to fifth spot, while Wellington (nine) remain in seventh place.
-nzherald.co.nz