Christchurch police posted a photo of Samuel Evan Lake on their Facebook page yesterday, appealing for information as to his whereabouts.
Lake, who has an outstanding warrant for his arrest, posted "I need to get a new mugshot" below his photo shortly after it was posted.
It prompted Christchurch police to shoot back with: "Come see us and will arrange at no cost."
"If only they were as good at finding me as they were with comebacks," Lake replied.
The quip has attracted more than 2500 'likes'.
Mr Lake later changed his Facebook profile image to a photoshopped version of the mugshot, altered to look like the Ben Stiller character from the movie Zoolander.
A Christchurch police spokeswoman said Luke today remained at large, however declined to reveal the nature of his arrest warrant.
Senior Sergeant Angela Grace of Christchurch police said police were simply waiting for Mr Lake to hand himself in and were monitoring Facebook.
"It's more inconvenient for him - looking over his shoulder. We're not going to give up."
