However, Mourinho's men failed to get a second goal, with Didier Drogba especially guilty of missing opportunities, and the German side drew level when Klaas-Jan Huntelaar found the net to earn his team a point.
Mourinho told Sky Sports News: "We had more than a couple of fantastic chances to win the game but we got a point. It is not the best result but it is a result.
"In the second half they scored, we had a good reaction and I have nothing to complain about with my players. Of course [Drogba] did his job, he had a good game and a good contribution.
"He missed the goal by a few inches and that would have been 2-0 but football is like this. Didier Drogba is not crying because of that miss."
Chelsea face Sporting Lisbon in their second Champions League Group G match on September 30.