Tony Mowbray’s side took an early lead when Jack Clarke took the ball off defender Issa Diop before beating goalkeeper Marek Rodak with a low finish.
Sunderland were then dealt a big injury blow when top scorer Ross Stewart was stretchered off with an injury in the first half.
Fulham’s equaliser came just after the hour mark as captain Tom Cairney beat two opposition players before converting his shot to force a replay.
Here’s how Phil Smith rated the Sunderland players at Craven Cottage:
Fulham’s equaliser came just after the hour mark as captain Tom Cairney beat two opposition players before converting his shot to force a replay.
. Anthony Patterson - 9
Made some excellent stops, particularly from Mitrovic and then Willian late on. A really impressive performance. 9 Photo: Martin Swinney
. Trai Hume - 7
Missed an aggressive attempt to intercept in the build up to Fulham’s goal but competed ever so well and handed the ball with impressive composure. Tenacious again. 7 Photo: Frank Reid
. Danny Batth - 7
Hardly put a foot wrong at the back, steady in possession and making some good defensive interceptions. 7 Photo: Frank Reid
. Aji Alese - 4
Had barely trained this week and so was handed a tough assignment against Harry Wilson. Showed good energy but struggled at times and was replaced at the break on a yellow card. 4 Photo: Frank Reid
5. Dan Neil - 8
Didn’t look out of place against a Premier League midfield, competing well and creating some good moments for his team. 8 Photo: Martin Swinney
6. Edouard Michut - 8
Impressive performance from a midfielder rapidly finding his feet in this team. Tidy in possession and carried it into some really good areas at times. 8 Photo: Frank Reid
7. Patrick Roberts - 9
An absolutely sublime performance. Constantly had the better of Kurzawa and created so many opportunities. Will rue missing what was almost a goal of the season contender just before Fulham equalised. Still - tremendous. 9 Photo: Martin Swinney
8. Amad - 7
Consistently caused problems and got into some good areas, but it was an afternoon where his finishing just wasn’t at its best. 7 Photo: Frank Reid