The Stallions fought their way back into the contest early in the second half and cut the deficit to two points.
The game ebbed and flowed and, at 36-32 to the Falcons, either team might have come away with the win.
In the end, the Falcons claimed the victory by 10 points.
Seeka Falcons coach George Tanirau said his team were forced to do a lot of defending.
“We were expecting a big match like that,” he said.
Tanirau said his side sometimes tried to do too much with the ball and handed over possession.
He said Falcons wing Jermaine Cooper and standoff Kingston Kennedy had standout performances and “saved us in crucial moments” on defence.
“The Stallions’ fitness and their youth really kept them in the game.”
Stallions captain Dylan Williams said his team had the wind in the second half and used their speed and footwork.
Williams said new fullback Rawiri Barnsley was hard to contain.
He was pleased with the effort shown by his side but their opponents capitalised on mistakes.
The Manutuke Mustangs had a win on their return to the competition after a 10-year absence, defeating Ngatapa Stags 50-30.
Jesse Kapene and Te Peehi Fairlie had four tries each for the Mustangs.
Manutuke coach Rana Wharehinga said Shayde Skudder was also strong and the team stood up to get the job done.
“It was a good game to open up the season.”
Ngatapa were trailing 28-6 but had a strong second half.
Paikea Whalers stormed to a 66-20 victory over the Turanga Panthers.
Chris Brown and Daniel Timoti scored two tries each for the Whalers and Maru Leach brought his kicking boots, slotting seven goals from nine attempts.