Italy midfielder Daniele De Rossi has taken the blame for Paraguay's goal in Cape Town.
The Azzurri battled back for a 1-1 draw in their opening game in Group F as De Rossi scored the leveller in the second period.
But the World Cup holders were given a fright when Paraguay when ahead on 39 minutes as Antolin Alcaraz headed in from a free-kick.
De Rossi concedes he let his side down by losing his marker, but was relieved his team-mates upped their game to secure what could be a vital point.
"We played well, were tough and allowed Paraguay very little. My mistake led to the goal, so everyone was angry," he said.
"We were going too deep defending the free-kicks, but he was my man and I was meant to be marking him. I definitely take the blame for that goal.
"It was important to get back on track at the start of the second half and we felt the path was there for the victory.
"I don't think it was a tactical issue, as Paraguay were more aggressive in the first half and lost that intensity a little as time wore on.
"We passed the ball around, but were a little sterile in the final third and you pay for that at this level. We need to improve in the final third, to be more clinical and to get the final pass into the box. That's what counts in a World Cup."
Juventus star Giorgio Chiellini felt his side deserved their win after 'dominating' the match.
"It's a shame we conceded that goal, especially from a set play. With all respect for Paraguay, I couldn't see how they were going to cause us trouble otherwise," he said.
"I liked the reaction of the side, as it can be frustrating when you feel the game slipping away.
"We came back and got a point, so the important thing was not to lose the first match. We are certainly satisfied, as Paraguay are a tough side and we dominated them.
"It's true there were some concerns during the warm-up friendlies, but from yesterday you could sense a different atmosphere. There was greater confidence and a different spirit, as we couldn't wait to get started.
"We Italians aren't made for friendlies, in my view. We need to battle."