The PM was overheard inviting the rumbustious broadcaster to No 10 to share a few tips on 'dealing with the Donald', after the pair were both on Laura Kuenssberg's BBC1 Sunday show.
The British immigrants who arrived in Australia in the 1940s famously enjoyed a good moan, but were they also so unworldly as the expats in Ten Pound Poms (BBC1)?
Danny Cohen, the former controller of BBC1, laid criticism at the Beebs and called on the Culture Secretary , Lisa Nandy, to make sure an independent inquiry was held.
Officially it's called Muranyi 50 City Rooms, but it's known in Budapest as 'Alcatraz'. Alfie Watts, the winner of BBC1's Race Across The World, was left in a state of shock when he checked in there.
The BBC faces calls to take further action against the opera singer-turned-presenter, who was welcomed back on the Strictly tour yesterday and will front a new BBC1 travel series tonight.
The unlikely duo filmed the sketch at Alexandra Palace to promote the William's new environmental documentary, The Earthshot Report, which aired on BBC1 on December 14.