Davies scored the late equaliser in a 1-1 home draw on Saturday that saw the Goodison Park side prolong their unbeaten run to five games.
The Toffees will play their final game of the season on Sunday, away to West Ham United, and although they can't finish higher than eighth in the table, Davies says everybody in the team are motivated.
"There's definitely still motivation to get points," he said for the club's official website. "I think [against Southampton] we did have most of the play, we just weren't creating the chances.
"We'll be working again on that this week and going into the game next weekend with the same mentality we've had all season - to win."