Senior Sergeant Anthony Bond, of Dunedin, said police were called to reports of a couple behaving offensively under a duvet in the Octagon about 6pm on Sunday.
The couple were believed to be homeless and new to Dunedin, Snr Sgt Bond said.
They were warned for their behaviour.
Then on Monday, police were again called to the overly frisky couple, this time outside the Dunedin Railway Station.
They were given another warning by police.