Christchurch court officials said Judge Jon Jackson was expected to consider the draft material over the next few days, with a view to issuing a consent order for the proposed supermarket.
Supermarket operator Progressive Enterprises had earlier sought to establish the Countdown outlet on a 1.1ha site beside the Dunedin Gasworks Museum, on a former car sales yard bordering Andersons Bay Rd.
In April, the Dunedin City Council's resource consents hearings committee rejected Progressive's initial application but the decision left the door open for the supermarket giant to redesign its proposed store and make a second attempt.
Of 20 submissions to the committee, 19 opposed the supermarket and just one supported it.
Gasworks-related issues and the effect of the supermarket on traffic on the busy Andersons Bay Rd were key concerns for the various parties.
Progressive subsequently appealed to the Environment Court.
Asked when the firm was likely to start building the supermarket if it gained approval this week, Progressive spokeswoman Tiana Miocevich, of Auckland, said she could not comment "at present" because the resource consent application was still in progress.
City council resource consent manager Alan Worthington said the parties had signed a draft consent order for the proposed supermarket.
A court case manager, Chris Jordan, said the court had been advised that gasworks museum authorities, Progressive, as well as the DCC and the Historic Places Trust, had finalised a "heads of agreement" over museum-related issues during court-related mediation talks in August.
Foodstuffs South Island Properties Ltd, Foodstuffs South Island Ltd and McDonald Holdings Ltd had also advised the court on October 19 that they no longer wished to be parties to an appeal, he said.
McDonald Holdings operates nearby supermarket Pakn' Save. Foodstuffs owns the South City Mall and leases the supermarket to McDonald Holdings.
Mr Worthington said an "amicable" agreement had been reached over museum issues, and further work by Progressive had also met council concerns involving traffic flows.
Gasworks board member Peter Petchey hoped the agreement with Progressive would produce a "win-win"outcome.
The height of the supermarket wall on the museum's northern boundary would be limited to about 7m and it would be partly offset near the museum fitting shop.
Ian Butcher, an architect working for the gasworks, was "very pleased" with the outcome of lengthy negotiations with Progressive and the "very good" way John Sofo, an Auckland architect acting for Progressive, had responded to museum concerns about the south-facing wall.
The design of this wall reflects attempts to recover "some of the lost history of the site", including using vertical lighting strips to represent the legs of a former gas holder tank on site, and use of different coloured wall materials to reflect black bitumen, and red brick at the gasworks.
• Australian-owned Progressive has a 44% market share around the country, operates 150 Woolworths New Zealand, Countdown and Foodtown supermarkets, and supplies independent brands.
