Despite the Blues coming closest to scoring, Mourinho felt a draw was acceptable although he felt Arsenal's ambitions were limited.
'Everybody saw the game. We had chances to win the game and we tried to win the game,' Mourinho said.
'In the first half they had better control, better possession, more quality and more confidence.
'After their goal we had a great emotional reaction and scored an unbelievable goal and then we had big chances to win.
'For the way they were in the first half and the way they were in front 1-0 I accept a draw.
'But for me it was a bit of a surprise for a team who are 18 points behind the leaders to come here not to win just to go with a draw it almost says `we don't want to win the Premiership, we just want to make a positive result at Stamford Bridge'.
'Mourinho's counterpart Arsene Wenger was 'frustrated' by referee Alan Wiley's decision to allow play to continue and eventually equalise despite an apparent foul on Alexander Hleb by former Gunner Ashley Cole.
'It was a very good football game for the neutral,' he said.
'We could have won it in the end and I feel a bit frustrated because before the goal they scored it looked to me a foul on Hleb.
'At that time we were in control, there was not much time to go and we could have scored a second on the counter-attack.'
Wenger explained his tactics: 'We had a very young defence and I wanted to give them protection, to not be too open too much. It worked well overall. When you look at their age, what they did today was sensational.
'We came to try to win the game and we nearly did that. Don't forget Chelsea didn't play last weekend so we had a little physical disadvantage.'
