While Motherwell looked a good bet for the last four when Aberdeen right-back Joe Shaughnessy was sent off after McCall's side made a lively start to the Fir Park clash, they could not break down a resolute 10 men and lost two late goals.
Motherwell have, though, been the most consistent team in the top flight outside Celtic, and will move above Aberdeen at if they beat a Hibs side reeling from the resignation of Pat Fenlon.
But McCall craves cup success and he knows this season's League Cup was a great chance, with Celtic already out.
The former Scotland midfielder said: "I've been very, very fortunate in my career to have lots of highs … I've got to say nights like the other night probably stay with you longer and deeper.
"I look back to losing the first-ever play-off with Bradford and not getting up to the Premiership, losing to England at Euro 96, not getting a second treble with Rangers in the cup final against Dundee United, not getting through against Arsenal in the semi-final of the FA Cup with Sheffield United.
"I will never forget the other night because it was an opportunity and as much as it's gone and we can't do anything about it, it'll stick with me forever."
McCall, whose side are looking to get back on track in the league after defeat by St Johnstone, added: "Whatever competition it's in, it's about winning.
"That's what spurs me on and I'm sure it's the same with the players as well as the fans and the staff. We move on to Sunday's game now and we want to get back to winning ways and get climbing that table again."