His debut with América came in 1970 in a league match against Atlante. Reinoso played in over 200 matches with the Mexican club, winning the league in the 1970–71 and 1975–76 seasons, as well as the Copa México in 1973–74, a Campeón de Campeones cup in 1975–76, a CONCACAF Cup in 1977, and a Copa Interamericana in 1978. To date, he is the foreigner with the most games played for Club América, playing in 364 games across all competitions, and with 95 goals he is the club's seventh-highest scorer of all-time.