Wrigley, a goal kicking Fullback or Five-eighth, signed with Cronulla in 1992, playing 21 games in three seasons with the Sharks, including their Reserve Grade Grand Final win over Newcastle in 1994. After missing the 1995 season, he signed with St. George in 1995, but only managed five games for the famous club.
Wrigley then signed to play a new team, the Adelaide Rams, for the 1997 Super League season. In what would prove to be his last season of top grade football, Wrigley was the Rams top scorer in their inaugural year scoring 81 points from 5 tries, 30 goals and 1 field goal in 15 games. At the end of the 1997 season, Wrigley was unwanted by Rams coach Rod Reddy despite being the highest point scorer for the club. He then announced his retirement at the age of 28.
Kurt Wrigley played 41 first grade games during his career, 21 for Cronulla, 5 for St. George and 15 for Adelaide. He scored 8 tries, 1 field goal and kicked 36 goals from 46 attempts (at 78.26%), totaling 105 points.