Everton boss David Moyes was delighted with his side's hard-earned point, even though Cahill's leveller was their only shot on target throughout the entire game.
Moyes said: "I thought we were always in it, never out of it. We were gritty.
"I felt that in the first half we didn't get after them as much as we'd like. I thought the tiredness showed in one or two players after the midweek game in Europe.
"I think it was a deserved point. We had to come to Chelsea after the UEFA Cup - and we've got a point.
"We showed an awful lot of determination and were never out of the game.
"Tim can get you goals, and it was a fantastic finish. You just sensed if we could get near the goal we had people who could get us a goal. But we found it very hard to do that.
"I was glad to go in at half time at 0-0. I thought Joleon Lescott, (Joseph) Yobo and our goalkeeper were the best players on the pitch today.
"I thought the two centre-halves were outstanding. Lescott dealt with one of the best strikers in Europe today, and I thought he was outstanding.
"He has become an excellent professional - and he is really working hard to become better."