The Eagles trailed 8-0 midway through the third but steadily clawed back and pulled ahead in the seventh to win 10-9.
After beating Clemson and Louisville on back-to-back days, the 12th-seeded Eagles will attempt to continue their magical run when they face fifth-seeded and No. 23 North Carolina.
Notre Dame piled up 11 runs on 15 hits, rolling past BC in the regular season finale in an emphatic manner to salvage a win in the three-game weekend series.
Jake Alu, Chris Galland, and Joe Suozzi each accounted for three hits as they led the Eagles past the Black Bears in an offensive outburst.
After falling behind by a run heading into the bottom of the eighth, the Eagles responded with two of their own and Thomas Lane closed out a win to rebound from their first sweep of the year.
Led by freshman Cody Morissette, who tallied three RBIs, BC topped the Huskies to take home the Beanpot consolation game.
Led by Brian Dempsey’s four hits and Jake Alu’s three RBIs, the Eagles notched their second victory of the week and evened their record at .500.