Born in Boston, Massachusetts, Pellagrini began his professional baseball career in 1938 and worked his way up through the minor leagues before being acquired by the Red Sox in September 1941, but spent 1942–1945 in the United States Navy, serving in the Pacific Theater of Operations, during World War II. On April 22, 1946, he hit a home run in his first Major League at bat with the Red Sox, helping the team to a 5–4 win over the Washington Senators, but he played in only 22 games that year and did not appear in the World Series; it would remain his only pennant-winning team.
Traded to St. Louis
Traded to the Browns after the 1947 season in the deal which brought Vern Stephens to Boston, he enjoyed his most consistent play in St. Louis, appearing in 184 games over two years and batting .238 in both campaigns. He returned to the minor leagues in 1950, and spent the final four years of his career with three National League teams, peaking with a 1953 season in which he hit .253 for the Pirates.
Pellagrini went on to become the baseball coach at Boston College from 1958 to 1990 (although he missed the 1969 season due to illness), compiling a record of 359–345–6. He guided the team to three appearances in the College World Series, in 1960, 1961 and 1967, as well as NCAA tournament appearances in 1962 and 1966.
In 1960, his Eagles defeated Connecticut and Holy Cross in the regional tournament to advance to the CWS, where they beat Northern Colorado before losing to USC and Oklahoma State. In 1961, BC beat Springfield and took two games out of three against Connecticut in the regionals, again moving on to the CWS; they beat Western Michigan and Duke, but lost twice to eventual champion USC and fell one game short of the championship contest.
The 1962 tournament saw BC eliminated with regional losses to Vermont and Bridgeport, and they were again eliminated in 1966 with a regional loss to Northeastern after beating UMass. But he took his team back to the College World Series in 1967, taking two games out of three against both Dartmouth and UMass in the regionals. An opening-round CWS win against Rider was followed by losses to eventual champion Arizona State and Houston, the latter a 3-2 decision in 13 innings, ending the Eagles' play. As of 2006, Boston College has not returned to the CWS. In a ceremony on May 3, 1997, BC's baseball field was formally rededicated as Eddie Pellagrini Diamond at John Shea Field.