A 3-1 reversal on home soil means the Cottagers remain rooted to the foot of the Premier League table, five points adrift of safety.
They have collected just two wins in 2014 and are running out of time in their efforts to preserve their top flight status.
Magath, drafted in to oversee a successful survival scramble, is of the opinion, though, that a much-improved performance against Everton bodes well heading into their final six fixtures.
He told Sky Sports: "We put in a good performance today, we have created a lot of chances and unfortunately we didn't make the goals.
"First half we had some chances to score, but after the equaliser also - two, three chances to score. If you don't score, it happens all the time that you then concede a goal.
"We are all very disappointed with how it is going on. But I think if we go on and play as good as we did today, we will see.
"We have played a game today against a very good team and Everton was going on to go forward in the table and maybe fight for fourth place, so it was a good game.
"I think that if we can take this performance with us and we go on, we will make it good."
Fulham saw Ashkan Dejagah cancel out a David Stockdale own goal at Craven Cottage on Sunday to offer them hope of collecting a positive result, but Everton rallied and created opportunities for substitutes Kevin Mirallas and Steven Naismith to wrap up a fifth successive win.