The Portuguese winger's two second-half goals ended Everton's unbeaten run and secured Chelsea's first Premier League clean sheet in nine months, though the result was overshadowed by a serious head injury to goalkeeper Emiliano Martinez.
Fulham, rooted in the bottom two with just two points from six matches, host a Hull City side sitting comfortably mid-table in the Premier League.
Pep Chavarria is absent despite travelling to the Hill Dickinson Stadium, while Reece James begins rehabilitation after successful knee surgery.