Graham Potter felt a point against Chelsea was the least his side deserved.
Albion moved up a place to 16th in the Premier League table after Tuesday's goalless draw, the first point they have collected at Stamford Bridge in the top flight.
It could have been an even better night but Danny Welbeck was denied by the post in the second half and Adam Lallana missed a good chance shortly after coming off the bench.
Potter said, "It's a good point against a top side. Another clean sheet is a positive and in the second half we had a couple of chances when we might have scored.
"We have been in games all season and our performance levels have been good, but sometimes we haven't got the points but that is down to the fantastic competition of the Premier League.
"We survived the moments we had to and created some good chances ourselves. We are happy with the point but we could have won it.
"We have taken some more steps but we must keep working hard and try to improve."
Albion's arrival at Stamford Bridge was delayed as Chelsea fans demonstrated against the proposed European Super League but by the end of the game the project was virtually dead after several clubs pulled out following protests from across the football world.
"It's been a disturbing 48 hours because what has happened felt like an attack on the game and our competition. Hopefully now we can all move forward," added Potter.