He also reached quarterfinals of that year's Australian Open, before being knocked out by John McEnroe.

In 1987, Masur won his second career singles title at Adelaide and reached the Australian Open semifinals, where he lost to eventual champion Stefan Edberg.

In 1990, Masur helped Australia reach the final of the Davis Cup, compiling a 6–0 record in singles rubbers in the first round, quarterfinals and semifinals.

However he was left out of the team that played the United States in the final by captain Neale Fraser.

In January 2015, Masur was appointed captain of Australia's Davis Cup team, succeeding Pat Rafter.