The guests struck the woodwork three times and nearly stole victory with the last kick of the game, and Lahm suggested it would not have been an undeserved outcome.
"We could have won easily here," he told ZDF television. "We had the best chances and we hit the woodwork three times."
As close as they got to beating Italy for the first time since 1995, they could also have lost to a well-disciplined Italy who may not have hit the post at all, but came closer on other occasions.
"You could tell that both sides wanted to win it," said Germany midfielder Toni Kroos. "It was a very intense game.
"It's always good to have tests like this, to see what we still need to improve on and what we are doing well."
That is precisely why Italy and, on Tuesday, England have been chosen as friendly opponents in Germany's final tests of 2013, according to coach Joachim Low.
"We knew it wouldn't be a friendly game against Italy," he said. "That is why we chose these games, to play at a very high level.
"Italy are tactically and defensively very strong, changing things around a lot during games.
"They are brought up to play like this from birth so it's good to try things out against them."