An email obtained by the Otago Daily Times confirmed there was a resident with Covid-19 in the Otago Polytechnic Student Village who was not self-isolating between February 17 and 18.
A spokesman for the polytechnic declined to comment on the case, citing privacy reasons.
"When we have a case in a residential college, we are ensuring that any students who test positive are isolating and well looked after," she said.
The vast majority of hall residents were adhering to guidelines and all students in residential colleges would be advised of the first positive case of Covid-19 "when and if a college is notified".
In all cases where there was a Covid-19 positive resident, the college would also follow up with close contacts, she said.
Rules circulated at University College and obtained by the Otago Daily Times expected students to maintain a 1.5m distance from others, strict room capacity limits, and to wear masks at all times unless eating or alone in a room.
One Unicol student said residents were following the rules "to a certain degree", but people tended to flout them, especially later in the evenings.
Everyone was "pretty gutted" about the cancellation of events but were trying to make the most of O Week despite the Covid-19 rules.
"I wish we were kept more in the loop," another resident said.
The subwardens did their best to enforce the rules, but it was like a game of whack a mole.
She said the situation was an "overwhelming" one for first years.
Two students from Cumberland College were at Unicol to visit friends
They tended to go room to room when subwardens came to enforce gathering limit rules, one said.
"You just get kicked out of one hall and you go to the next," said the other.
A police spokesman confirmed police dispersed a large gathering on Dundas St at 11.20pm on Monday.
A Dundas St resident said he estimated there were typically about 600 students passing by his flat each night, going from party to party.
He believed the groups were mainly comprised of of first years with some second years.
He believed a reluctance to get tested among the student population would "artificially downgrade" reported case numbers.