The match was a tense and tightly contested affair between Gavin Hunt's Durban City and the co-coached Kaizer Chiefs duo of Khalil Ben Youssef and Cedric Kaze. Both sides created chances but struggled to find a breakthrough until the closing minutes.
Chiefs started brightly, with Makabi Lilepo and Mfundo Vilakazi both testing Darren Keet early on, while City's Mfanafuthi Mkhize fired narrowly over following a set piece.
The first half ended goalless despite half-chances at both ends, including a fine save by Keet from Vilakazi's long-range effort just before the break.
The second half continued in similar fashion, with City pushing forward through Bokang Mokwena and Fezile Gcaba, while Chiefs gradually took control after a string of substitutions.
The introduction of Gaston Sirino added creativity, and the Uruguayan made an instant impact when his pinpoint cross found Silva in the 88th minute. The Portuguese striker rose highest to glance his header into the top corner, sending the travelling fans into raptures.
Durban City threw everything forward in the closing moments, with Letsie Koapeng forcing a fine save and Kyle Jurgens missing a late chance to equalise.
But Chiefs' defence, marshalled by Inacio Miguel and Bradley Cross, held firm to secure a hard-fought clean sheet.
The victory lifts Chiefs to third in the standings on 19 points from 10 matches. Durban City, meanwhile, drop to fifth with 15 points from 11 games.
It was a reminder that Chiefs, despite their recent inconsistency, remain one of the Premiership's most dangerous sides when it matters most.
