The wine is roughly half the strength of normal wine and contained about 3.5 standard drinks.
"This promotion was a local one run solely by this particular store on a low alcohol wine," Laird said.
"We contacted the store and they have removed the promotion. We do take our responsibility as a retailer very seriously."
In 2014, the Ministry of Justice looked into a minimum price of $1 and $1.20 per standard drink, finding that the former would save society $318 million over 10 years, while the latter would save $624 million over 10 years.
It noted that minimum pricing would affect low-priced drinks, but raising the excise tax would be a stronger tool for changing consumer behaviour because it affected the prices of all alcoholic drinks.
But the report recommended holding off considering a minimum price until 2019, so the effects of the 2011 reforms can be more accurately seen.