Van Persie and Carrick put United ahead after Fulham defended Steve Sidwell's opener with all they had, only for Darren Bent to score a late leveller.
Below are United player ratings from the match:
David de Gea 6/10 - The Spaniard had no chance with Sidwell's excellent finish, and picking the ball out of the net was the only time he came into contact with it in the first half. Stood up well as Kieran Richardson skied a chance for 2-0. Hard to be critical of him as he saved Kieran Richardson's late strike, as he did well to keep it out even if it did fall to Bent.
Rafael 6/10 - Was putting in plenty of strong crosses down the right in the first half hour, and was bombing down the right flank almost unopposed. Will be disappointed that none of them had the quality to find a man in red. Withdrawn for Antonio Valencia with United still behind.
Patrice Evra 6/10 - Like Rafael on the other flank, was playing as a second winger for much of the first half. Popped up in all kinds of attacking positions without anything coming off.
Chris Smalling 5.5/10 - His side of the pitch saw the majority of the Fulham counter attacks, and he was unable to play a part in stopping any of them. Disappointing.
Nemanja Vidic 5.5/10 - Headed straight at Steklenberg from a corner as United bombarded the Fulham box. Moyes could have done with playing him up front as he would have surely done better with the countless crosses looped into the box. Failed to deal with Riise's last minute long pass, with his header falling to Sidwell and leading to Bent's goal.
Michael Carrick 6/10 - Flashed an excellent volley just wide from 25 yards, and was regularly in and around the box. Scored what looked to be the winner, after getting to the edge of the area to curl in off of Scott Parker. Put under pressure by Vidic's poor headed pass that gave Sidwell the chance to steal in ahead of him.
Darren Fletcher 5.5/10 - Ignored Sidwell's run for the opener, in what proved to be a key moment in the match. Looked short of fitness and running against Fulham's energetic midfield.
Ashley Young 6/10 - Headed straight at Skelenberg from Juan Mata's outstanding cross, but was also putting in plenty of crosses. Did relatively well on the left flank, despite coming up short in his search for a goal. Replaced by Hernadez with 20 minutes left.
Juan Mata 6/10 - Had so much of the ball and for a long time looked like he was going to be unable to influence the match, before he flashed a drive to Van Persie to tap in. Was guilty as were others of hopeful balls into the box. One great bit of skill as he nutmegged Riise and curled a cross in with the outside of his left foot. Curled a strike just wide late on.
Wayne Rooney 6.5/10 - Him and Mata took turns at dropping deep to try and thread in a ball to the countless players up ahead. Was marking Sidwell before the goal but let his man go and would have expected one of his midfielders or centre backs to pick up the man. Forced a phenomenal save from Fulham's keeper at point blank, and tracked back well when needed later on as the midfield failed to deal with Sidwell and Holtby.
Robin van Persie 7/10 - Huge miss running on to a left footed volley at the far post, but looked dangerous throughout with his movement, and was the man that finally drew United level, capitalising on Juam Mata's cross-come-shot that flashed across goal.
Adnan Januzaj ('62) 6.5/10 - A threat once he came on, with the youngster more willing to dribble past his man into the area than Young before him, but he still fell victim to the infectious tendency to put in endless crosses into the box without result.
Antonio Valencia ('69) 5.5/10 - Carried on where Rafael left off, which was essentially putting in countless crosses that didn't actually end up doing any damage.
Javier Hernandez ('69) 6/10 - Eager as ever with his running once he took to the field, but didn't have any chance to add to his super sub tally.
image: © Andrea Sartorati