The League Cup holders Celtic secured their place in the last eight after an underwhelming 2-0 victory over Raith Rovers.
One of Raith’s finest moments in the club’s history came against the Hoops 21 years ago when they beat them to win the Scottish Cup.
However, any signs of a Cup upset looked slim when Kris Commons opened the scoring for the hosts. But the result wasn’t confirmed until Stefan Johansen grabbed the clincher with a few minutes to go.
Ronny Deila said after the game: “I am always a little bit worried. You never know in football and the cup is always like that.
“When it is 1-0 anything can happen but I think we were in good control and it was good that we got the second goal.”
Rovers boss Rab McKinnon said: “I am really pleased with their performance. It is bitter-sweet night, definitely.”
Hearts produced a dramatic late turnaround against Kilmarnock at Rugby Park to end their run of three straight defeats.
Josh Magennis scored a double for Killie in between Alim Ozturk’s equaliser for the Jambos.
However, Robbie Neilson’s men battled back and substitute Juanma made it 2-2 with minutes to go before Sam Nicholson netted a late winner to complete an incredible comeback.
Neilson said: “To get the goal and go again to get the third goal is fantastic. It shows great spirit.
“I think it shows belief. They always want to keep going and going.”
Kilmarnock boss Gary Locke said: “We are gutted, we put so much into the game, played some really good stuff and lose a couple of late goals. It’s a sickener for us.”
Hibernian stunned Premiership leaders Aberdeen with a 2-0 victory at Easter Road.
Jason Cummings scored a delightful opener in the last 10 minutes before Dominique Malonga showed great skill to seal the victory and add a second, ending Aberdeen’s winning run.
Hibs boss Alan Stubbs said: “They were both fantastic goals. It’s taken a great strike to break the deadlock from Jason and Dom’s is the icing on the cake.
“This will certainly help but there was a belief in the dressing room beforehand, I think it took us 45 minutes to realise that belief at times.”
Dons manager Derek McInnes said: “Firstly you have to congratulate Hibs, I didn’t think there was a lot in the game.
“We’re disappointed we didn’t find the answers to separate the teams and Hibs have.”