Burnley accepted £300,000 for the 19-year-old Steven who joined Everton in the summer of 1983. He made his debut at the beginning of the following season, which proved a watershed campaign for Kendall's men. Despite finishing in 7th position in the Football League Championship, the season – and Kendall's job – was saved by two excellent cup runs. Steven was not selected by Kendall for the 1984 Football League Cup Final (a defeat to local rivals Liverpool after a replay), but by the time Everton lined back up at Wembley for the 1984 FA Cup Final two months later, he was in the team. Watford were the opponents, and Steven played his part in the second goal of Everton's 2–0 success. As he ventured down the flank, Steven sent in an early, high and very awkward ball towards the Watford penalty area, which Everton centre forward Andy Gray and Watford goalkeeper Steve Sherwood challenged for together. Though Sherwood seemed to get two hands on the ball, Gray's challenge certainly involved contact with his head and the goal was given. Steven had played his part and an FA Cup medal was his.