In what proved to be a dramatic second half Rangers found themselves two goals down on 61 minutes after John Baird and Tom Taiwo put the Bairns in a strong position to claim all three points on offer.
The Light Blues, however, never gave up and in 81 minutes Haris Vuckic headed in his ninth goal of the campaign to provide a glimmer of hope for the Ibrox faithful.
As the game moved into injury time it was wave after wave of attacks from the home side and despite goalkeeper Jamie MacDonald’s heroics Rangers eventually got their reward when Nicky Law coolly slotted the ball into the corner of the net.
McCall was understandably disappointed his side could only draw today – a result which means the club drops to third in the table – but he was pleased with the fighting spirit on display.
Speaking to RangersTV he said: “We’re going to need that between now and the end of the season, the desire and the togetherness to keep going to the final whistle.
“That’s all we demand of them. Regardless of what the score is, go to the final whistle and you’ll get your rewards and they deserved that today.
“I think first half we started well with two or three good chances. Their keeper has made a couple of good saves and we have got in good positions. Then Falkirk grew into the game and got a bit of possession and they got an extra man in the middle of the park.
“But I still thought when we got it wide to Walshy he put good balls in at times and with Waldo down the side of him we could create.
“We made mistakes, a lot of mistakes, but I was delighted with the way we kept at it at two-nil. Again we have had two or three great chances and their keeper has pulled off two outstanding saves.
“Obviously it’s not the result we wanted and we know there are things we could do better but for sticking at it and keeping going, top marks to them.”