They appeared to have secured a breakthrough when Polish referee Szymon Marciniak pointed to the spot after Rurik Gislason brought Maximiliano Meza down in the 63rd minute.
The Group D clash pits an Argentine side that critics say is too focused on superstar Messi against a band of grafters who pride themselves on teamwork.
"I think the Argentinians felt a bit frustrated that they weren't getting through and it was important we equalized so quickly".
Messi denied that the draw would affect the team in its next Group D contest Thursday against Croatia, adding that "we have some days to rest and get well-prepared for the match".
Mourinho has reiterated that Messi is a human for whom the missed penalty will have a significant psychological impact for the remainder of the tournament.
It was only Morocco that let down Paul Robinson's World Cup Daily Acca yesterday and he's back to amends today with a 12/1 shot.
Jorge Sampaoli surprised everyone as he rattled off Argentina's first XI on the eve of their opening encounter against Iceland. "We are a country that puts everything into football and I'm sure we'll have 40 million people following us tomorrow".
Russian Federation selected 11 host cities to be the venues for the matches of the 2018 World Cup and they are Moscow, St. Petersburg, Sochi, Kazan, Saransk, Kaliningrad, Volgograd, Rostov-on-Don, Nizhny Novgorod, Yekaterinburg and Samara. "But, yes, we must do better, and we can do better", he said.
"We had an enormous amount of fans and it was sad they came so far to see us lose, they deserved at least a draw", said Peru coach Ricardo Gareca.
Star forward and captain Messi is desperate to lift the trophy and has hinted he will quit if the campaign in Russian Federation ends in failure.Sampaoli said he believed the Barcelona player would continue to grace the world stage after Russian Federation.
"The first match is always the most hard".
The Dane's face Peru this afternoon and with France and Australia the other two group members, this fixture could go a long way to decide who will be joining the French in the last 16 - assuming France don't do a 2002 on us.