Lafai, called up to replace injured representative centre Josh Morris, latched onto a Ben Barba pass with eight minutes remaining after the Rabbitohs had been reduced to 12 men with the sinbinning of fullback Rhys Wesser.
The 19-year-old crossed after Wesser had made a trysaving tackle on Bulldogs winger Steve Turner before being marched for hanging on too long.
For the second time in two weeks Souths led by a point - this time 19-18 - before being run down.
They led 8-0 early and then 18-12 ten minutes into the second half but were unable to prevent Dogs revivals on both occasions.
Read more at the SMH.COM.AU ...
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