After handing over a $2 mince pie, the alleged offender left the store and sat in nearby bus stop eating it, before leaving the area, the shopkeeper said.
"He was obviously homeless and if he had asked me nicely I would have given him a pie, as we often give bits and pies to other needy customers," the shopkeeper told the Bay of Plenty Times afterwards.
Detective Senior Sergeant Greg Turner said police would still like to speak to the man pictured above in relation to this incident.
If anyone knows who he is, or has information which might help locate him, please call Mount Maunganui police on 07 575 3143.
Information can also be provided anonymously via Crimestoppers on 0800 555 111.