The Chilean Government is now effectively buying for-profit schooling back into the public system with the hope of reducing segregation between schools and the related achievement gap. It's a controversial set of reforms, partly because it involves increasing taxes.
So what did I tell those in Santiago about New Zealand education? I focused on the way New Zealand's mainly public education system has numerous strengths but also significant inequalities within it, and how it is being gradually privatised.
These are some of the main points.
Important strengths of the New Zealand state system include the way that diverse schools and communities have been able to be included, nationwide approaches to pay and infrastructure, and compensatory funding for poorer schools.
There is a broad and progressive curriculum and a valuable professional culture that has built up in schools.
The only reason New Zealand is able to have a mainly public education system is that it allows for middle class advantage in various ways. If it didn't, more New Zealanders would opt for private schools.
Government policy is gradually nibbling away at the public system, bringing in the private. Although privatisation developments remain more embryonic in New Zealand than in Chile, New Zealand is probably heading for the same problems.
Some of the privatisation could be considered hidden but a lot of it is becoming pretty obvious. New Zealand's privatisation of education is through public apathy as well as by stealth.
The overall message to Chile was clear enough. A public system holds the best promise of delivering a high-quality education to families regardless of how rich or poor they are. But the case of New Zealand shows that moving to a mainly public system is no paradise. Developing socially just education provision remains a long struggle.
Speaking to an overseas audience is usually a great opportunity to sum up what's happening in your own backyard. New Zealanders should be listening to how its academics and other experts are portraying this country to the world and not be threatened by their critique.
Martin Thrupp is professor of education at the University of Waikato.