Songin was a Hockey All-American for Boston College in 1948. He was a member of the 1948-1949 national championship team. He was captain of the 1949-50 squad and also won All-American. He was a founding member of the Pike's Peak Hockey Club. Today it is Boston College's oldest hockey booster organizations. Songin also played 1 game for the Worcester Warriors of the Eastern Hockey League during the 1954-55 season. His nephew Tom Songin played right wing for the Boston Bruins
In 1960 Songin signed with the Boston Patriots of the newly created American Football League. On September 9, 1960, Songin played in the first ever AFL game, against the Denver Broncos. In his first season with Boston he completed 187 of 392 passes for 2,476 yards, 22 touchdowns, and 15 interceptions. In 1961 he split starting duties with Babe Parilli. He completed 98 of 212 passes for 1,429 yards, 14 touchdowns, and 9 interceptions. In 1962 he was the opening day quarterback for the New York Titans, but was replaced by Lee Grosscup. He played in 7 games, completing 42 of 90 passes for 442 yards, 2 touchdowns, and 7 interceptions.