The second inquiry was due to look into unlawful conduct within media organisations as well as relations between police and the press.
The McCanns complained of press intrusion into their lives after their daughter Madeleine went missing on holiday in Portugal in 2007.
Two inquiries were expected when back in 2011, and in response to a wave of public anger over alleged phone-hacking by the now-defunct News Of The World, former British Prime Minister David Cameron said that it would be divided into two parts.
In related news, it has emerged that Kate and Gerry McCann have opened legal proceedings at the European Court of Human Rights in a bid to have a book by a former Portuguese PJ detective shelved.
According to the couple, the book and subsequent DVD has earned Gonçalo Amaral close to €400,000. Demand for the book has seen it translated into several languages with 180,000 put into print.
This comes after the Portuguese Supreme Court last year rejected yet another appeal by Kate and Gerry McCann to overturn an earlier ruling in favour of former PJ police inspector Gonçalo Amaral.
A lower court had ruled in 2015 that Amaral pay the parents of Madeleine McCann 500,000 euros for damage caused by his book.
But since then, three successive court rulings have found in favour of the former Portuguese detective.
Madeleine McCann went missing from a holiday apartment on 3 May in 2007 while her parents were dining at a restaurant.