Galloway had much success in the mid-1970s, winning three official events on the PGA Tour of Australia.

Galloway won his first two official tournaments in the state and finished runner-up at the 1974 and 1976 South Australian Open.

Royal Canberra's club professional Ray Thomas noted at this time that he had "terrific potential.

"[3] At the age of 16, Galloway started playing in elite local amateur events.

In October 1967, Galloway won the Royal Canberra Golf Club's junior championship with a total of 316, defeating his nearest competitor by 11 strokes.

[5] The following year, in July 1968, he and partner Rolf Hartley won a fourball event for best gross score, winning 2 up.

[6] In November 1968, Galloway played the Royal Canberra Golf Club Championship.

[10] In January 1971, he moved onto Cromer Golf Club in Sydney under the guidance of Jim Moran.

[12] By the middle of 1971, despite still living in Canberra, he was now able to be "a regular competitor" in the weekly Sydney events for assistant professionals.

[14] Galloway decided to play the Australian circuit full-time in 1972 to determine if he was good enough to be a touring professional.

In February, he finished in a tie for fifth at the Tasmanian Open, three back of Stewart Ginn, just one out of the runner-up slot.

[18] In September, he played in the West End Tournament in Victor Harbor, South Australia.

In "icy winds and rain" at Glenelg Golf Club, Galloway shot an even-par 72 during the third round, among the best of the day.

He defeated past or future major championships winners Peter Thomson, Tom Kite, and Hubert Green by multiple shots.

[23] In early 1975, at Young Golf Club outside Sydney, Galloway played well at the inaugural Australian Four-Ball Championship.

He and teammate Duncan Park were six behind the team of Bob Tuohy and Frank Phillips entering the final round.

By the end of the 1975 season he had "virtually decided" to stop working as a touring professional and "get a steady job.

In February, he played the South Australian Open, the site of one of his top performances.

Galloway shot an opening 68 (−4) to put himself one behind teenager Greg Hohnen going into Friday.

Ratcliffe's approach hooked into a pine tree but fortuitously bounced into a greenside bunker.

[29] Shortly thereafter he won the South Australian PGA Championship, a local event held outside of Adelaide.

[31] Starting at 214 (−2) and several shots behind the lead, Galloway "came home strongly with a 68" to finish solo runner-up.

He stated after the round, "It's the best I've played since winning the South Australian PGA at Flagstaff Hill this year and I am very pleased.

[33] Several months later, in November, Galloway played excellently at the Australian Open.

[38] During most of his experience at Thaxted Park, however, Galloway did not achieve much media coverage for his golf play.

[39] Also, early in the year, he won the South Australian State Qualifying tournament.

[40] In addition, he won the 1982 PGA South Australian Foursomes Championship with fellow club professional Phil Tierney.

[45] Rather, Galloway worked primarily as a golf coach and administrator for the remainder of his regular career.

The goal was to sharpen the skills of young amateurs who had not yet had the opportunity to face stiff competition.

[49] In addition, Galloway owns a golf driving range in Port Noarlunga, South Australia, where he offers lessons to those who want to better their game.