But after just their second win in 10 Melbourne visits, providing an ideal salute to 300-game lock Anthony Watmough, the Eels will take it.
The omens weren't good for the home side when they lost fullback Reece Robinson (suspected fractured cheekbone) in just the sixth minute.
Then again, the Eels have been getting used to receiving bad news.
They are still reeling from Friday's departure of Scott Seward - their fourth CEO in as many years.
It added to a horror year in which they have been fined $525,000 and may lose four competition points in 2016 for salary cap breaches.
Then there was playmaker Chris Sandow's public falling out with coach Brad Arthur over their playing style.
But Parramatta showed spirit to come back from a 22-16 deficit in the 66th minute to notch a rare win and avoid last place on the NRL ladder.
Tries to Eels centre Ryan Morgan (70th minute) and backrower Tepai Moeroa (76th) gave the visitors the lead before Fonua's last gasp play.
Parramatta reeled in a 12-10 halftime deficit when pivot Corey Norman pickpocketed Storm fullback Cameron Munster off a Sandow kick in the 42nd.
But Melbourne hit back when pivot Blake Green pounced on a spilt in-goal grubber (49th minute) and Hymel Hunt scored on Storm debut (66th) after a Norman pass went to ground.
Melbourne led 12-0 after as many minutes after Tohu Harris - a centre filling in at prop for McLean - scored then converted halfback Ben Hampton's 12th minute try.
Sandow set up Semi Radradra's double in the 27th and 36th minutes.
The hulking winger could have had three but was denied by the video referee (obstruction) in the 31st.
Parramatta also lost hooker Nathan Peats (eye) in the first half.
There were further injury concerns for the Eels with Watmough and reserve rake Kaysa Pritchard (both shoulder).
"We were out on our feet with blokes playing all over the shop," said Arthur who was also without Origin star Will Hopoate.
"We were trying to work out who was where - (but) it was a great effort.
"In the last few weeks we have found ways to lose but tonight we found a way to win.
Melbourne coach Craig Bellamy was surprisingly upbeat despite the Fonua no-try ruling.
"It was one of those that could have gone either way," he said.
- AAP