Fulham have now notched up three wins and two draws from their last five games, and assistant manager Christian Damiano was happy with the Cottagers' recent run.
"We arrived with good intentions to play, and I think we played well," he said. "Perhaps we didn't create good scoring chances but we did try to play all the time.
"It was hard, and Bolton played with nine players back behind the ball. In the end we have one point, and I think it's a very good point for us because Bolton had a very good start to the season."
Bolton boss Sam Allardyce watched his side draw 0-0 with Fulham and then admitted he is worried by their lack of goals at the Reebok Stadium.
The stumbling Trotters have taken just two points and scored two goals in their last five Premiership home matches.
And Allardyce said: "We've had five home games and we've only scored in one of them, against Everton two weeks ago. We failed to score in the three home games before that and now we've failed to score today.
"It's not been the case that we have not created chances because we have - we just haven't taken them. But if you look at us away from home then it is a little bit of a concern.
"We must start turning good performances into wins certainly at home, because it would be too much to keep expecting us to win away."