The last time the Highlanders tasted success in Gorgie was back in 2013, the season when Hearts were relegated from the top flight. There have been a number of intriguing encounters between the sides over the years.
ICT had a decent record at Tynecastle over a certain period but Hearts have had a couple of heavy victories of late.
Scroll down and click through for a trip down memory lane which features some familiar, favourite and unusual names.
1. Hearts 1 - 0 Inverness CT - Betfred Cup, 06/10/20
Hearts returned to competitive action for the first time since March. Jamie Walker got the season off and running with a 1-0 win, netting from the penalty spot. Photo: Ross Parker - SNS Group
2. Hearts 5 - 0 Inverness CT - Betfred Cup, 29/07/18
A new-look Hearts team thrashed their Highland opponents with Uche Ikpeazu announcing himself with a double. Photo: SNS Group Craig Foy
3. Hearts 1 - 1 Inverness - Scottish Premiership, 18/02/17
Ian Cathro's side were behind for a large proportion of the match until Arnaud Djoum equalised a Carl Tremarco goal. The Hearts defence that day was: Andraz Struna, Aaron Hughes, Anastasios Avlonitis and Lennard Sowah. Photo: SNS Group Craig Foy
4. Hearts 5 - 1 Inverness CT - Scottish Premiership, 20/08/16
Hearts were resplendent as they swept aside ICT. Don Cowie netted a brace while Bjorn Johnsen had an excellent game up front, setting up Sam Nicholson brilliantly for one of two goals. Photo: SNS Group Graham Stuart