Dundee United goalkeeper Cammy Bell earned his team what could be an invaluable bonus point as he saved two Inverness penalties in the shootout that ended this Betfred Cup group C clash.
St Johnstone cruised to a 3-0 Betfred Cup win over Falkirk at McDiarmid Park.
Late penalties have cost Montrose points in both of their Betfred Cup matches so far.
It wasn’t losing on penalties that concerned Dundee boss Paul Hartley against East Fife, it was the second half performance that brought about the spot-kicks.
St Johnstone boss Tommy Wright admits he is a firm fan of the early start to competitive matches in the new Betfred League Cup.
Montrose manager Paul Hegarty is relishing the new season even though the early start has proved to be something of a challenge.
Arbroath will host the first fixture of the group stages of the Betfred Cup on Friday, July 15 at Gayfield when they will play Dundee United with the game being televised live by BT Sport.
There will be no League Cup Dundee derby in the first stage of the competition, after the draw for the revamped tournament kept the city rivals apart.