The Giallorossi had won all 10 of their previous matches in Serie A and led 1-0 at half time thanks to a goal from Kevin Strootman.
However, Alessio Cerci scored in the second half to prevent his former club from leaving the Stadio Olimpico with all three points.
After the match, the French coach said that it was a point gained rather than two points lost, and that he plans to get back to winning ways against Sassuolo next Sunday.
"This is football, we can't win them all, but a draw away from home is not a negative result," Football Italia quotes the 49-year-old as saying.
"We must make the most of this point, as it is valuable, and be ready to win the next game at home to Sassuolo.
"I hope we can then break away from Juventus or Napoli, maybe even both."
The capital club are three points clear of Napoli and Juventus at the top of the table.