Walston doubled as receiver and kicker for the Eagles for 12 seasons. His best receiving season was in 1954, when he caught 41 passes for 750 yards, garnering 18.3 yards per reception, scoring five touchdowns. The next season, he would have only 581 yards on 31 receptions, but he scored 11 touchdowns as the Eagles once again went 7-4-1. He also scored 114 points during the season, the most in the NFL that season and most by an Eagle until 1984. His best kicking season was in 1957, when he made 75% of his field goals and was 1st in percentage in the league, with 9 of 12 field goals made. Despite this, his Eagles went 4-8. But three seasons later, they had made a resurgence in 1960, and Walston went 14 out of 20 in field goal kicking (70 percent) and was first in the league once again, with 39 out of 40 in extra points as the Eagles made their first playoff appearance since 1949. In his lone playoff appearance, he caught 3 passes for 38 yards while making a 17-yard field goal and two extra points as the Eagles won the 1960 NFL Championship Game, their first title since 1949. In his final season, the Eagles finished 3-10-1. He caught four touchdowns that seasons, his most since 1954, although his kicking game declined, as he had his second worst kicking percentage. Even after over 50 years, he still holds the all-time Eagles record for points scored, with 881.