He also participated in the World Youth Games in 1996 and was a teammate of José Contreras on Pinar del Río in the Cuban National Series.

In September, 2004, Soler signed a three-year, $2.8 million major league contract with the New York Mets.

He gave up two earned runs, five hits and four walks in six innings with no decision as the Mets defeated the Philadelphia Phillies 5–4.

In Soler's fourth career start (June 10, 2006) he hurled his first complete game shutout, a two-hitter against the Arizona Diamondbacks.

On July 3, 2006, Soler was sent back to the Norfolk Tides after a poor performance the night before against the New York Yankees.