The goalkeeper will return to Westfield almost a year on from the night his mistake gifted the Bairns a shock win over the Ibrox side.
Gers had trailed 2-0 after Farid El Allagui’s double but had fought back and looked like they might win after goals from Dorin Goian and Nikica Jelavic levelled the tie.
But Alexander saw Mark Millar’s last-minute free kick slip through his hands to give the hosts an unexpected victory and it brought Rangers’ reign as holders to a premature end.
The 34-year-old admits that was a hard time for him as he followed the error up a few weeks later with another in Germany which gave Hamburg a friendly victory.
But he is keen to look forward rather than back and is focused on coming out on top against Steven Pressley’s men this time in this evening’s Ramsdens Cup second round match.
Alexander said: “I don’t feel I’ve got anything to prove to anybody after what happened last year. The fans, myself and the management all know how good I can be.
“I was disappointed with what happened at Falkirk and I made a mistake in the Hamburg game as well so that was probably one of my lowest points with Rangers.
“I felt I had let a lot of people down and not just myself. I think a lack of games back then worked against me.
“Those were my first two games of the season and even though the second one was a friendly, I was a bit rusty but that still shouldn’t have happened.
“It’s going to be a really tough game against Falkirk. Steven Pressley has Falkirk playing really good football and this is possibly the toughest draw we could have had.
“We have four competitive games under our belts now and we have played two bounce games too so we’re at a good point to gauge where we are.
“We’re not looking at the game as one we’re wanting revenge in but hopefully it’s one we can do win because the Ramsdens Cup is still important to us.”
Alexander is one of the few people in Ally McCoist’s squad with prior experience of playing in this competition when it was known simply as the Challenge Cup.
He reached the 2000/01 final with Livingston but lost on penalties to Airdrie at Broadwood Stadium after a 2-2 draw.
Alexander made up for that disappointment with league success instead and knows the competition could provide a platform to work from later in the season.
He added: “I got to the final with Livingston and it was massive for us at the time. We were really disappointed not to win it.
“We went on to win the league that season which was good but a double would have been nice. It was an experience we learned from nonetheless.
“Hopefully the league is something which takes care of itself. There will be a few tough games but it’s as tough as we’re going to make it.
“If we approach every match with the right attitude that should take us in the right direction and that’s the case in the cups as well.”