He began his professional career in 2008 with the Venezuelan Summer League Mets, going 1–8 with a 3.12 ERA in 14games started. In 72 innings, he had 74 strikeouts. Cuan began the 2009 season with the Brooklyn Cyclones and also pitched for the Kingsport Mets, going 1–5 with a 5.05 ERA in 14 games that year. In 2010, he pitched for the Cyclones and St. Lucie Mets, going a combined 5–1 with a 1.93 ERA in 17 games.