They say the channel, which previously aired a documentary based on the book, continued to discuss the allegations despite the injunction.
The couple are currently in a Portuguese court suing Amaral for libel over the claims.
Maddie: The Truth Of The Lie alleges Madeleine died in the McCann family's holiday apartment and the couple faked her abduction.
The court has heard today from two witnesses who were not available during proceedings held in January.
Eduardo Dimaso, chief editor of Correio da Manha newspaper and Luis Frois, from the company that made a documentary based on the book's claims, told the court about arrangements their companies had made to distribute and broadcast the film.
Lawyers for the McCanns and Mr Amaral are expected to make their closing arguments this afternoon.
It is understood the couple will fly back to the UK tonight.
A ruling on whether the existing temporary ban on the book is to be made permanent is expected by the end of this month.
The McCanns arrived holding hands and faced a small group of protesters maintaining that Amaral had the right to freedom of speech.
Kate and Gerry McCann attended three days of hearings on this case in January.