It put the cost of the recall at €350 million when it revealed its third-quarter results last year but in its court action it alleges projected costs and lost sales will total €630 million ($981 million).
Danone wants compensation from Fonterra for losses from the botulism scare and the harm it says was caused to its reputation.
Fonterra wrongly suspected in August last year that 38 tonnes of whey protein - used to make products including Nutricia infant formula - 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 recalled 67,000 cans of its Karicare formula in New Zealand.
Fonterra applied in June in the High Court at Auckland to suspend the action it is facing in New Zealand pending the determination of the Singaporean arbitration that involves companies in Fonterra Group and Danone.
Justice Geoffrey Venning granted the stay application last month.
He said the facts underlying Danone's High Court claim and the arbitration "are essentially the same".
There was a risk of inconsistent findings of fact and law in the two proceedings and there would be a duplication of witnesses and evidence.
"Given the substantial degree of factual overlap between the claims in the Singaporean arbitration and these proceedings I consider that it would not be in the interests of justice for both claims to proceed in tandem," he said.
The court case
What Danone is alleging in its court action:
• In discussions with Fonterra in April last year, Danone says, it was given assurances that there was no food safety risk from the use of supplied whey protein concentrate.
• It says that by giving these assurances, Fonterra Co-operative Group breached the Fair Trading Act and engaged in misleading and deceptive conduct because the New Zealand company had information that it did not disclose.
• The French food giant also says that if Fonterra had not made false and misleading representations, it would have refused to accept the New Zealand company's product and would have made a more orderly recall of its baby food.
• Danone alleges that Fonterra knew or should have known the French company was relying on it to give it correct information. Danone says the dairy co-operative had a duty to take care the information it gave was correct and any updates were provided promptly. Danone alleges Fonterra breached these duties.
• Danone also says Fonterra Group breached its duty of care when manufacturing the whey protein concentrate to ensure it was free from any defect giving rise to a risk to health and safety.
