The scenes that took place in St. Martin where actually filmed in North Carolina.
The picture's screenplay was developed at the American Utah Sundance Film Institute.
Second and final [to date, June 2015] collaboration of actress Holly Hunter and actor Richard Dreyfuss. The first had been Steven Spielberg's Always (1989) which had been made and released around a couple of years earlier.
Both of the film's two leads have won Best Acting Academy Awards. Holly Hunter won the Best Actress Oscar for The Piano (1993) about a couple of years after Once Around (1991) whilst Richard Dreyfuss had previously won the Best Actor Oscar for Neil Simon's The Goodbye Girl (1977). The gold statuettes awarded were won around sixteen years apart.