"We are maintaining our policy about not complaining about referees but I do question whether it is helping us," said Southgate.
"I have seen the incident again and our lad has got his back to the play.
"The shot is hit from only a couple of yards away and I don't see the handball is anything but involuntary.
"I'm bitterly disappointed for my players because we've done so well tonight.
"Yes, we should have wrapped the game up with a couple of chances we had, but we are fighting for our lives and the penalty was a very difficult decision to take."