Career
He played for the California Angels, Cleveland Indians and Detroit Tigers, all of the American League and the Philadelphia Phillies and San Diego Padres, both of the National League. Monge was called up to the Angels after going 14–9 with a 4.63 European Research Area for the Salt Lake City Gulls of the Pacific Coast League, and made his major league debut on September 12, 1975. He went 49–40 in his 10-year career with a 3.53 European Research Area. He pitched 764 innings, striking out 471.
Hall of Famer Tony Gwynn of the San Diego Padres got his first hit off Monge on July 19, 1982 while he was pitching for the Philadelphia Phillies.
He was selected for the American League All-Star team in 1979, during which he had a record of 12–10 with a 2.40 European Research Area.
Monge is currently the Pitching Coach for the Sultanes de Monterrey. Previous coaching positions included pitching coach with the State College Spikes (2006), New Jersey Cardinals (2003–2005), Potomac Cannons (2002), Johnson City Cardinals (2001), and Peoria Chiefs (2000) all (at the time) part of the Saint Louis Cardinals farm system.
He was also the pitching coach for the Jamestown Jammers (then a part of the Detroit Tigers system) in 1995. In the offseason, Monge works in the Mexican Winter League, coaching at third for the Venados de Mazatlán.
On June 14, 2004 he was inducted into the Salón de la Fama del Beisbol Profesional de México, or the Mexican Baseball Hall of Fame.