Parramatta toiled away conscientiously all night and responded well to their 48-0 thrashing to the Warriors but fell apart somewhat towards the end of the game.
The home side failed to make the most of their chances with Toutai dropping the ball over the line in the 45th minute and a Dylan Walker intercept after a Chris Sandow 40/20 just before halftime costing them dearly.
Underdogs Parramatta struck first in the 10th minute when Tepai Moeroa - the man dubbed "the next Nathan Hindmarsh" - crashed over off a Corey Norman short ball and Chris Sandow converted for the early 6-0 lead despite Souths enjoying the better of field position.
Weight of possession told when Souths scored their first try in the 27th minute. After repeated sets on the Eels' line, winger Lote Tuqiri strolled over untouched after Souths created numbers on their left side to leave winger Semi Radradra stranded.
Burgess then scored his first try just before halftime for the visitors to lead 10-6.
Weight of possession also told late in the contest when Souths scored 16 points in the last 15 minutes.
Tuqiri was put on report by referee Jared Maxwell for a 22nd-minute 'crusher' tackle on Willie Tonga.
Eels halfback Chris Sandow was put on report for striking Souths centre Dylan Walker and Joseph Paulo for a 62nd-minute high shot on Tom Burgess.
- AAP