Prpić was born in Zagreb, at the time in SR Croatia, SFR Yugoslavia.

[1] After a surgery, Prpić spent two years recovering before returning to the Tour.

His joint best performance at a Grand Slam tournament was at the 1991 Australian Open, where he reached the quarter-finals.

In 1991, he teamed-up with Monica Seles to help Yugoslavia win the Hopman Cup.

A year later in 1992, Prpić teamed-up with Goran Ivanišević to win the men's doubles bronze medal at the Olympic Games in Barcelona for the newly independent nation of Croatia.