"I am very happy with the performance of my men and all the chances they were able to create," he said at the final whistle. "You cannot always win and a draw is acceptable, but today we did deserve the full points."
The Giallorossi went behind to a David Trezeguet header - the first goal they have conceded this season in all official competition - but Francesco Totti's brace turned it around.
Alessandro Del Piero ballooned a penalty over the bar and at the 88th minute Vincenzo Iaquinta snatched an equaliser.
"Cicinho made a mistake in tackling Nedved for the spot-kick, but I don't want to put too much blame on to him. Nedved is an expert player who knows how to make the most of certain situations."
Despite the setback that ends their 100 per cent record, Spalletti's Roma are still top of the Serie A table.
"We are continuing to work like last season, there is nothing new. We will not be downhearted by this missed opportunity. Perhaps we should learn not to let our enthusiasm get the better of us, as that can lead to mistakes."