Everton's recent good form continued as they overcame struggling Crystal Palace 3-1 at Goodison Park on Saturday lunchtime to move up to seventh in the Premier League.
Bernard opened the scoring after just 18 minutes with a well-struck volley, the Brazilian's third goal of the season on his 50th league appearance for Everton.
However, despite dominating the first half, Palace drew level six minutes after half-time thanks to Christian Benteke's first top-flight goal since last April, only for Richarlison to fire the hosts back in front just before the hour-mark.
Dominic Calvert-Lewin's late header confirmed Everton's victory, the striker's sixth goal in eight appearances under new boss Carlo Ancelotti.
As a result, Everton moved up to seventh in the table, while Roy Hodgson's team stay 14th, but after just one win in their last 11 games, the Eagles are just six points from safety having now played a match more than their relegation rivals.
Everton came into the game on the back of just one defeat in their previous 10 matches, form that had seen Ancelotti's side surge up the table, and that was borne out in their early dominance.
Lucas Digne tested Vicente Guaita with an early free kick and while Patrick van Aanholt did see his deflected drive hit the outside of the post, the home side soon found themselves ahead.
Theo Walcott showed quick feet to skip past Van Aanholt's attentions on the right, before whipping in an inviting ball that the unmarked Bernard cushioned past Guaita with a sweetly timed volley.
Against the run of play, however, the visitors levelled matters when Benteke collected Wilfried Zaha's through-ball and somehow fired a shot through Jordan Pickford to end a barren 18-match league run. It is not a goal the England goalkeeper will look back on with any fondness.
Not that the scores stayed level for long, with the hosts retaking the lead seven minutes later after a piece of individual brilliance from Richarlison, the Brazil forward's 11th goal of the campaign.
And despite Benteke hitting a post with a close-range header, Everton sealed the win with Calvert-Lewin's 88th-minute header, the 22-year-old's 13th goal of the season maintaining their hopes of European football next season with the Toffees now sitting just a point off Tottenham in fifth.