Plans have been submitted to Tenby Town Council for a possible twinning of the resort with a town called Baud, in Brittany, France.
Councillors had mixed feelings when the matter came before them on Tuesday night, however, with Clr. Mickey Folland stating that he "couldn't see the benefits" and wanted a valid reason for such a move.
Continuing, he said that Tenby had been down this road many times, and previous twinning attempts with towns on the Continent had fallen by the wayside.
But Clr. Trevor Hallett was in support of the proposition.
"It's the communities who are twinning, not the councils," he stressed, urging that they give it another go, because it might work.
Clr. Caroline Thomas reinforced the point that people should be given a choice in the matter, but felt that it would only be viable if the town council did not have to organise the twinning.
Mayor, Clr. Mrs. Christine Brown, concluded that the scheme was not being kicked into touch and that letters would be sent to local residents associations to gain their opinion and to see whether they wanted a twin.
The town of Baud had selected Tenby due to its cultural and historic similarities. Brittany is also like Wales in many ways, with a strong Celtic heritage and its own language from that period, Breton, which is still spoken in many areas.