Hearts and Hibs played out a scoreless draw at Tynecastle and the result should have gone the way of the home side according to their boss.
"We had the possession and opportunities. Hibs had their opportunities as well but for every one of theirs, we probably had two,” McGlynn said.
"I thought we played good football, tried to pass the ball, get it into good areas and were a bit unlucky because I think we deserved to win the game.
"We felt that we deserved a penalty in the first half as well,” McGlynn added, referring to James McPake’s tackle on Scott Robinson.
“I've not seen it again so it's difficult to say, but it looked like that when Scott went for the ball the player went right through him.
"At the time, I felt it was a penalty. TV evidence might tell us something different but I just thought it was a penalty at the time."
The result left Hearts in ninth position on the Scottish Premier League table on 26 points from 21 games whilst Hibs sit fourth on 32 points from 22 outings.