This morning, lawyers for both Danone and Fonterra appeared in the High Court before Justice Brendan Brown discussing a media application to view the court file.
The judge allowed members of the media to attend, but not report any of the arguments made both sides.
An earlier minute issued last month by Justice Brown recorded that Fonterra had filed an application "for stay of the proceeding" on February 20.
A stay can be a suspension of action between parties and can be either permanent or temporary.
A Queen's Counsel representing Fonterra, Alan Galbraith, said he could not comment when asked about this application.
Fonterra wrongly suspected in August last year that 38 tonnes of whey protein - used to make products including infant formula manufactured by Nutricia - had been contaminated with a botulism-causing bacterium. The whey protein was ultimately cleared but not before a recall of baby formula products amid fears that children could be harmed.
Nutricia was forced to recall 67,000 cans of its Karicare baby milk brand in New Zealand.
Of the eight customers affected by Fonterra's recall, the company agreed to a commercial outcome with all of them except Danone.