State College Spikes
In 2010, Monge was hired as 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 St. 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.