Dundee manager Steven Pressley told Sportsound: "I thought for 70 minutes we performed reasonably well.
"I thought we were far more creative than we have been in recent weeks.
"I thought we showed courage as I wanted us to be more courageous in possession and I thought we did that. But also courage to go and win the game.
"And having been 2-0 up, with Livingston them showing a great reaction, we could have gone under. But no, Jon McCracken makes an incredible save, we go up the other end and get the penalty.
"I had more than my heart in my mouth [at penalty review].
"I was very hopeful. But when it's made and he's asked to review it you always have that concern. But thankfully it was given."
Livingston manager David Martindale: "The contact's initiated by the Dundee player. At the time, in real time, I thought it looked like a pen, but I watched it back and I go, 'there's no chance that's a pen'.
"The VAR officials then send a referee to the monitor, which tells me there's two people looking at footage with different camera angles, saying, 'you might have made a mistake here, I think you'd better go and look at the monitor'.
"He looks at the monitor and then says, no, it's a pen. I said to the referee after the game, 'you'd better hope you've got that right'.
"This can't keep happening. It can't. It's me that's affected this week, it'll be somebody else next week. Rangers, Kilmarnock, Celtic benefit, Hearts benefit, it can't keep happening.
"We're paying millions of pounds for people to make decisions using footage. They seem to still be getting it wrong.