Played from 1921 through 1935. A colorful player, he entertained fans by catching fly balls behind his back in one-sided games. He batted approximately .325 during his Negro League career. He also played in Venezuela into the 1940s, and was Venezuela's top defensive outfielder in 1943.
Oms made his greatest impact in his native Cuba, collecting 537 Cuban Winter League hits in 1531 at-bats for a lifetime .351 average. He won batting crowns in 1924-25 (.393), 1928-29 (.432), and 1929-30 (.380). He led the CWL with 76 hits in 1928-29 and with 44 in 1931-32, when his 14 stolen bases were also the league high. He played on championship teams in Santa Clara, Havana, Almendares, and Cienfuegos.