Sound the bugle because quarter-horse racing returns to Tucson this weekend. Saturday, Feb. 8, will be opening day for Rillito Park’s Winter Meet 2020. The historic park, and birthplace of quarter horse racing, has hosted events for seven decades. ... This season is extended by a weekend, because Wells said there was a demand for it from fans and the American Quarter-Horse Association award Rillito Park Racetrack with two regional races.