City played a 1-1 draw with Wolves whole three-time champions, Dolphins were surprisingly made to share the points by newcomers, Giwa FC, at their home ground, the Liberation Stadium in Port Harcourt following a 1-1 draw.
In spite of the draws on Wednesday, all four clubs still remain in the bottom half of the standings.
At the Krisdera Hotel Stadium, Nembe City started in a business-like manner and nearly took the lead when Michael Okoro's header grazed the woodwork with Wolves goalkeeper, Daniel Akpeyi well beaten.
Two minutes later, Wolves right-back Goodluck Onamado turned Musa Newman's cross into his own net.
City kept their lead into the break but surrendered it on 70 minutes when Gbolahan Salami scored with a left-footed volley that caught City keeper, Sule Muhammed unaware.
It is the first time that Nembe City will score a goal and also earn a point in the premier division this season.
Giwa FC put behind them their coaching troubles and pulled off a big result in Port Harcourt.
Charles Okoro gave Giwa FC the lead in the 31st minute with the easiest of finish from Usman Nurudeen's cross.
Stunned by the goal from the Elephant, as Giwa FC are called, Dolphins were galvanised into action.
Giwa FC's lead lasted just 10 minutes as Tijani Adamu levelled the score following a fine build-up play by Dolphins that led to the goal.
Dolphins almost took the lead in stoppage time of first half through Bolaji Sakin but Giwa FC keeper, Olorunleke Ojo spread himself out well to save.
Thirty minutes into the restart, Ifeanyi Egwim was upended in Giwa FC's box and Dolphins won a spot kick. But Alhassane Dosso's kick was saved by Ojo.
The draw at Dolphins is the first away point won by Giwa FC this season.