The Republic of Ireland edition of the Irish Daily Star has published photos of the Duchess of Cambridge sunbathing topless while on holiday in France.
Its editor, Mike O'Kane, said the pictures did not feature in the Northern Ireland or British editions.
Earlier, Italian gossip magazine Chi said it planned to print the pictures in a special issue next week.
St James's Palace said on Friday it was suing the publishers of French magazine Closer which first printed the photos.
The Dublin-based newspaper is a joint venture between Northern & Shell - publisher of the UK Daily Star - and Ireland's Independent News and Media.
A spokeswoman for St James's Palace said it would not comment on potential legal action concerning the proposed publication of the photos in Italy "save to say that all proportionate responses will be kept under review".
She said: "Any such publication would serve no purpose other than to cause further, entirely unjustifiable upset to the Duke and Duchess of Cambridge, who were enjoying time alone together in the privacy of a relative's home."
Closer and Chi are both part of former Italian Prime Minister Silvio Berlusconi's Mondadori media group.
No UK titles have published the photos and British newspapers have been quick to condemn foreign titles that have published or plan to publish the pictures.
The royal couple were staying at the French chateau of the Queen's nephew, Lord Linley, in Provence when the photos were taken.
The duke and duchess are currently on a tour of south-east Asia, to mark the Queen's Diamond Jubilee.