Peters began to impose himself on West Ham's game, and another chance for silverware came in 1966 when West Ham reached the League Cup final. The occasion was still over two-legs with each of the finalists hosting a leg (though this changed to a one-off final at Wembley a year later), and Peters played in both matches. He scored in the second game but opponents West Bromwich Albion emerged as 5–3 winners on aggregate. The 1968–69 season saw Peters's only hat-trick for West Ham, in a 4–0 home defeat of West Bromwich Albion. That was also his most prolific season: 24 goals came for him from 48 games.