It will also be the first time the two have played in the Scottish Cup since 2009. Here are the last 11 meetings of the sides in pictures.
5. Hearts 3-2 Falkirk 13/2/10
Steven Pressley's first game as Falkirk manager ended in defeat at Tynecastle where Pedro Moutinho's goal gave the Bairns late hope after Ian Black had scored his first goal for Hearts to put them 3-1 up Photo: Ian Georgeson
6. Falkirk 0-1 Hearts 26/12/09
Michael Stewart's second half penalty was all that separated the sides on Boxing Day 2009 as Hearts left The Falkirk Stadium with all three points. Photo: Jane Barlow
7. Hearts 0-0 Falkirk 24/10/09
Falkirk were still looking for a first win of the season after nine games but boss Eddie May said a 0-0 draw at Tynecastle was a fantastic result Photo: Ian Rutherford
8. Falkirk 0-0 Hearts 18/04/09
The Bairns ended a three match losing streak with a draw at home to the Jambos with Dani Mallo saving well from a David Obua header in the game's best chance Photo: Michael Gillen