"Mags dominated possession in our second game without doubt and 0-0 flatters us, but it was a game plan that we executed pretty well," Fey said.
"They didn't create any clear-cut opportunities - just a number of half-chances they never took. They would be pretty gutted with that score but you've got to put them away."
In other Pool B action, Nelson College accounted for St Bede's 2-1 after Mount Albert Grammar School smashed St Bede's 6-0 in the morning.
"There's a pretty strong possibility that we are already through to the top eight, but in order to guarantee it we will need to at least draw with St Bede's tomorrow," Fry said.
"We really couldn't be in a better situation. Us and Mags will be playing at exactly the same time, so we will have people over at their game telling us the score."
Mags looked favourites to go through as top seeds ahead of Boys' College to crossover play against Pool A, but Fry believed that might not be such a bad thing for the Tauranga side.
"If you asked me this morning whether there was much advantage [in qualifying top of the pool] I would have said yes, but Christchurch Boys beat St Kent's 1-0 this afternoon.
"So if we come second in our pool we will more than likely play Christchurch Boys instead of St Kent's, which would be quite beneficial because the Auckland schools have a lot of experience with crossover games."
Boy's College's final round robin match, against St Bede's of Christchurch, starts at 1pm today.
Results: Tauranga Boys' College 2 (Dylan Bull 2) Nelson College 0; Tauranga Boys' College 0 Mount Albert Grammar School 0.