Neither side really got going in west London, though Scott Parker will feel aggrieved that his side could not post a host of late chances away – while the Hammers were left to rue a controversial injury-time red card for Tomas Soucek following a VAR review by referee Mike Dean.
The Czech Republic midfielder appeared to be attempting to get himself free from the shackles of his marker, Aleksandar Mitrovic, at a free-kick when he lifted his left arm and brushed his elbow against the face of the Fulham striker.
Mitrovic fell to the ground, Dean was advised by VAR to look at the incident on the pitchside monitor and, after a long review, the official showed Soucek — a scorer of eight League goals this season — a red card.
West Ham defender Vladimir Coufal struck the crossbar with a header in a rare opening for the visitors, who would have jumped into the top four — at least for one night — with a win.
They stayed in fifth place, a point behind Liverpool.
Fulham bounced back from a lacklustre 2-0 loss to Leicester in midweek and were able to subdue in-form West Ham striker Michail Antonio, but could not break the deadlock despite forcing some late half-chances.
The draw means only Brighton have had more draws this season than Fulham’s nine, and left Scott Parker’s side in third-to-last place, eight points from safety.
Additional reporting by AP.