Justice Minister Andrew Little plans to discuss Google's apparent disregard of New Zealand's suppression rules with justice ministers from other countries in the coming months.
He is also tossing up law changes to make sure a suppression breach such as this never happens again.
This comes after Google told Little it had no plans to change its practices, after it appeared to break a suppression order in a high-profile case late last year.
That was the case of a 27-year old Auckland man accused of murdering British backpacker Grace Millane. The accused's name has been suppressed.
Google emailed the accused's name to anyone signed up to its "what's trending in New Zealand" email.