Kris Commons and Simon Mensing were at loggerheads over the controversial penalty incident which saw the Celtic midfielder give the visitors the breakthrough goal in their 3-0 William Hill Scottish Cup fifth-round win over Raith Rovers at Stark's Park.
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Celtic dominated but only went ahead in the 56th minute after referee Steven McLean adjudged the Rovers defender to have fouled Commons inside the box.
The Scotland international slammed the ball into the corner of the net past Rovers goalkeeper David McGurn and the Irn-Bru First Division side's resistance was broken.
Late goals from substitute James Forrest, on for Tony Watt, and defender Charlie Mulgrew completed a solid afternoon's work by the Hoops.
Celtic manager Neil Lennon admitted the award "looked soft" but former St Johnstone and Hamilton defender Mensing was forthright in claiming that Commons had gone down too easily throughout the game.
Mensing said: "I thought the ref got that one wrong - he went down too easily and I know that for a fact. I'm really disappointed with it.
"There was minimal contact but Commons is clever.
"He was doing it during the game and you can see he's a clever player.
"When they go one up they can relax a bit more so it's really frustrating.
"He was doing it all over the park but what you can you do?
"You just hope the officials see it and don't give it.
"That was the pivotal moment in the game. The longer it goes at 0-0 we always had a chance.
"The ref just said he felt it was a definite penalty. I would argue until I'm blue in the face that it wasn't but it's not going to change anything.
"We could possibly have had a penalty in the first half when Joe Ledley pushed Jason (Thomson). But I didn't think we got much at all today.
"If we'd have got that and gone one up, things would have been in our favour.
"But I think 3-0 is harsh on us because we defended well as a team and our game-plan worked.
"Unfortunately we've been outdone by a penalty."
Commons was relaxed in his response when told of Mensing's views.
"He tripped me up in the box and it's something you can't do," Commons said.
"You can't trip players in the box. There was definite contact with my right foot.
"If he got the ball then fair enough, but he didn't so I don't know what he expects me to do.
"I said before the game that I would take it, I have scored my last two.
"I think their keeper analysed my penalties too much because I don't think he moved and I slotted it nicely."
Lennon, who was pleased with his side's "professional" performance, said: "I didn't get a great view of it and I might agree with Simon.
"I haven't seen it again but it looked soft, but the referee was right there.
"But we could have had a penalty for handball in the first half, I have seen penalties given for a lot less.
"But the way Kris took the penalty pleased me, the game opened up and I thought we looked great in the last 20 minutes."
Raith boss Grant Murray had few complaints about his side's performance and had his doubts about the penalty.
He said: "The video guy will show me it (penalty) again but my first thoughts was that it didn't seem as if a lot of them claimed for it.
"But at the end of the day Stevie (referee) has a decision to make and he sees it as it is.
"We put in a lot of effort and commitment but we have just lost to a Champions League-quality team so there is no disrespect to our guys."