The sequence - which was written by Chris Chibnall but never shot - has been brought to life using animated storyboards and a voiceover from actor Arthur Darvill (Rory).
P.S. What Happened to Brian and the Ponds was released today (October 12) on the BBC's official Doctor Who site.
The four-and-a-half minute scene sheds more light on what happened to Rory and wife Amy (Karen Gillan) after they were sent back in time by the Weeping Angels and also features the character of Rory's father Brian (Mark Williams).
"We're delighted we can present this lovely scene written by Chris Chibnall," said Doctor Who executive producer Caroline Skinner. "People took Rory's dad, Brian, to their hearts very quickly, so it's fitting we can give the character a degree of closure in this poignant piece."
Doctor Who will return to BBC One this Christmas for a festive special, before airing eight new episodes in 2013.
Photo gallery - view images from the current 'Doctor Who' shoot below: