The Whites recorded their first away win of the season after goals from Clint Dempsey and Moussa Dembele saw them run out 2-0 winners in a fine performance at the DW Stadium.
Despite a stunning goal from Bryan Ruiz, two injury time goals saw Everton take all three points at Craven Cottage.
Two late goals from Jon Walters and Rory Delap prevented the Whites from taking a point from the Brittania Stadium on Saturday afternoon.
Goals from Danny Murphy, Clint Dempsey, Bobby Zamora and a hattrick from Andy Johnson saw Fulham record their first win of the Premier League season, and thrash QPR 6-0 in the process in this pulsating West London derby.
Fulham gained a credible point on the road as they played out a entertaining goalless draw against West Brom at The Hawthorns.
Fulham scored two second half goals to stage an amazing comeback on Sunday afternoon and come back from 2-0 down to secure a valuable point against Manchester City at Craven Cottage.
A Bobby Zamora equaliser meant the points were shared at Craven Cottage as the Whites drew 1-1 with Blackburn Rovers on Sunday.
A Clint Dempsey goal couldn't prevent Fulham coming away from St. James Park with a result, as a brace from Leon Best saw Fulham lose 2-1 on the road.
Goals from Kevin Doyle and Matt Jarvis on the stroke of half time meant Fulham left Molineux empty handed as Wolves ran out 2-0 winners.
Aston Villa keeper Shay Given was in inspired form as despite numerous chances, Fulham were held to a goalless draw on the opening day of the 2011/2012 Barclays Premier League season.