South were then indebted to a couple of fines saves from goalkeeper Romer, including a one-on-one.
The home side regained the lead via Shalom, who found a pocket of space on the left-hand side before curling a superb shot into the top corner.
The celebration for South was to be shortlived, however, as Greater Manchester levelled for a second time, making it 2-2 at half-time.
South shuffled their pack at the start of the second half, introducing Anderson, Edwards and Slack, which gave them more of a cutting edge going forwards. Brown, Caley and Edwards spurned good openings, although the latter quickly made amends, stooping to score a diving header.
Slack came close to adding a fourth for South, only to be denied by a fine save. There were no further goals so South Manchester progressed into the last eight, where they could meet Manchester Maccabi 1st.