Toffees boss remains positive despite slipping to bottom of table.
The Toffees took on Mark Hughes' charges at Craven Cottage in the Premier League on Saturday, and were unable to breach the home side's defence as the game ended in a goalless stalemate.
But it was not for a lack of trying, as goalkeeper Mark Schwarzer came to the rescue more than once to keep the Merseyside outfit at bay.
Moyes lamented that despite all the possession his side had enjoyed they were unable to break the deadlock but was happy that his team secured their first clean sheet of the season.
"I'm a little bit disappointed we didn't get the three points, but pleased we got a clean sheet," he said, according to BBC Sport.
"This is a hard place for us to come and we showed no lack of confidence. We just couldn't make that killer pass - when we get near the box we're just hitting a brick wall."
The draw puts Everton at the bottom of the Premier League standings, as West Ham United climbed above them after beating Tottenham 1-0.
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