The agreement between the parties contains no commitments by the university relating to the outcome of any individual's application for admission to the medical school or any changes to the process.
It does include, however, a concession that increased clarity and transparency about the process would be desirable.
The university's processes have been under scrutiny this year, as leaders started to discuss whether the system that gives priority to students from minority backgrounds should be adjusted.
Priority is given to students who are selected through preferential pathways - Māori, Pacific, rural, low socio-economic, and refugee - but the scheme has resulted in competition being particularly intense in the general pathway.
Most students selected for second-year medicine in 2020 came through the preferential pathways.
The legal challenge, which was to be heard in the High Court, had been expected to touch on those themes.
In resolving the matter, the university did not appear to concede ground to the applicant.
"The university accepts that the proceedings have highlighted the desirability of increased clarity and transparency in its medical admissions process," the joint statement said.
"The applicant is satisfied that the university will be taking appropriate steps over time towards that outcome.
"The applicant accepts that any review of the admissions process must be carried out in respectful consultation with a range of interested parties, including Māori and Pasifika communities, and recognises that the court proceedings are an unhelpful distraction which will not assist with the thoughtful dialogue required."
The university's Mirror on Society policy aims to generate a health workforce more reflective of New Zealand society's make-up and the university has re-asserted its commitment to that policy.
It is regarded as a cornerstone of admissions to health sciences professional programmes at Otago.
The policy is due to be reviewed next year.
University leaders have not ruled out bringing in changes such as capping the number of students gaining entry through preferential pathways.
The parties involved in the legal challenge suggested in their statement that discussions had been helpful.
"The constructive dialogue with the university has satisfied the applicant that the guidance for the future that a court ruling could provide is not required at this stage."