Seguí was born in Holguín, Cuba. In 1970 with Oakland, Seguí won 10 games as a reliever and starter, while leading the American League pitchers with a 2.56 ERA. On June 7, 1972, he was traded by St. Louis along with Reggie Cleveland and Terry Hughes to the Red Sox in exchange for John Curtis, Lynn McGlothen and Mike Garman. Seguí holds the unique distinction of having pitched for both of Seattle's major league baseball teams, the Pilots and the Mariners, in the first game ever played by each franchise. In these contests, he earned a save for the Pilots in 1969, and absorbed the opening-day loss for the Mariners in 1977. His most productive season came in 1969 for the Pilots, when he posted career-highs in wins and saves, against only six losses. At the end of the season, his teammates voted him the Pilots' Most Valuable Player. After he started the Mariners' inaugural game in 1977, he was dubbed "the Ancient Mariner," and, although he set a Mariner single-game record with 10 strikeouts early in the season on May 5, he failed to get a win the rest of the way. After compiling a 0–7 record with a 5.69 ERA, he was released at the end of the season. Seguí continued pitching in the Mexican League for another 10 years, tossing a no-hitter for the Cafeteros de Córdoba during the 1978 season. During his Mexican stint, he amassed a 96–61 record with a 2.91 ERA and 1,025 strikeouts in 193 pitching appearances. Seguí also pitched with four teams in the Venezuelan Winter League during 15 seasons between 1962 and 1983. He posted a 95–58 record and a 2.76 ERA in 213 games, setting a league's all-time record with 941 strikeouts, to surpass Aurelio Monteagudo and José Bracho. This record is still unbeaten. He also ranks second in wins behind Bracho, third in complete games, and is fourth both in ERA and innings pitched. Seguí was inducted into the Venezuelan Baseball Hall of Fame and Museum in 2003. He also gained induction into the Hispanic Heritage MuseumHall of Fame on August 19, 2006 in San Francisco, California. His son, David Seguí, is a former 15-season major leaguefirst baseman.