Tosin Adarabioyo's first goal for Fulham ensured his side shared the points with Bournemouth in a meeting of the Championship's top two.
The defender glanced home substitute Tom Cairney's cross with six minutes remaining to keep his team one point clear in first place.
Dominic Solanke had scored his 17th goal of the season six seconds into the second half to put Bournemouth ahead.
But they could not hang on to give manager Scott Parker a winning return to his old club.
It is now three successive draws for Marco Silva's Fulham, whereas Bournemouth have won only one of their past six games following a blistering start to the season.