The Rapids had acquired the rights to the San Diego-born Avila, who has Mexican heritage, from Toronto FC in the 2012 Re-Entry Draft but did not reach an agreement with the 25-year-old.
Avila started his career at FC Dallas, scoring three goals in 63 appearances in his first three-and-a-half seasons in the league. He was then traded to Toronto FC in mid-2011, where he made 33 appearances. He enjoyed the best season of his career in 2012, recording a goal and two assists while playing a career high 24 games.
LaBrocca, 28, returns to the club where he kicked off his MLS career, appearing in 61 games and scoring four goals between 2007-10. He had a brief stint in Toronto in 2010 before moving to Chivas USA, where he had a career year in 2011, starting all 34 of the clubs games and tallying eight goals and six assists en route to an All-Star nod.