Despite pitching just two seasons in the major leagues, Fine was a professional baseball pitcher for 15 years (1939–1942; 1946–1956). He is most remembered for his career in Cuban baseball during five seasons, and especially for being the first (and until 2024, the only) pitcher to hurl a no-hitter game in Caribbean Series history.
He made his major league debut in 1947 with the Red Sox and finished with a 1–2 record in seven starts. He appeared in the majors again in 1950 with the Browns and posted 0–1 in 14 games as a reliever.
In his majors career, Fine compiled a 1–3 record and a 6.81 earned run average, walking 44 batters while striking out 16 in 72⅔ innings of work. He was a competent hitting pitcher, batting .333 (6-for-18) with five runs scored and one RBI in 25 games.
In the minors, he went 157–110 with a 3.35 ERA for 12 different teams during 15 seasons spanning 1939–1956.
Guided by catcherAndrés Fleitas, Fine posted the first no-hitter pitched in any Caribbean Series game, to give his team a 1–0 win against the Cervecería Caracas of Venezuela. He also helped himself, going 1 for 3 while scoring the eventual winning run on Sandy Amorós' single in the 6th inning. Hard-luck losing pitcher Al Papai allowed just four singles. Fine's game would be the only no-hitter in tournament history until Ángel Padrón of Venezuela's Tiburones de La Guaira in 2024.
Five days later, Fine faced the Carta Vieja Yankees of Panama and was close to glory. He was three outs from consecutive no-hitters in the Series, having allowed a single in the ninth inning to break it up. His 17 hitless innings streak also is the longest in Series history.
