Justice Ronald Young has reserved his decision.
The Tip Top name goes back 75 years and is most commonly associated with ice-cream.
Back in 1926, Albert Hayman and Len Malaghan opened their first ice cream parlours - two in Wellington and one in Dunedin.
The same year Tip Top Ice Cream Company was registered as a manufacturing company. Within two years, it was making its own ice-cream and operating successful stores in the lower North Island and upper South Island.
It went from strength to strength, establishing other plants as demand grew, and becoming a Kiwi classic.
The oldest novelty ice-cream still in production is the Eskimo Pie.
These days, New Zealanders enjoy nearly four million Jelly Tips a year. Vanilla, cookies and cream, and boysenberries are the most popular ice-cream flavours.
Just over a decade ago, Tip Top Ice-Cream became part of Fonterra Co-operative Group.
These days New Zealand's leading ice-cream company produces around 35 million litres of ice-cream a year and exports it to a wide range of countries.
Down in Dunedin, the Tip Top was an institution in the central city Octagon from the days Albert Hayman and Len Malaghan opened it as a coffee and milkbar. As times changed, it served as a tearooms.
The lease on the site was sold in 2007 and the latest owner, Barry Timmings, reopened the business - now known as the Tip Top Cafe - two years ago on a smaller site a couple of doors away.
In her decision on the trademark name for the cafe, the Assistant Commissioner said a Colmar Brunton survey conducted on Fonterra's behalf showed there was a strong association between the name Tip Top and ice-cream.
But there was also an association between the name and bread, and with Mr Timmings's Dunedin business.
In its appeal, Fonterra argued that most New Zealanders would be confused or misled by the name Tip Top for a cafe, snack bar or restaurant, and might think it was owned or operated by the ice-cream company.