No. 6 seed Boston College’s rally in the top on the ninth fell short in Friday’s 4-1 loss to No. 3 seed Clemson in the ACC tournament Pool C elimination game at Durham Bulls Athletic Park in Durham, N.C.

BC opened the tournament with an 11-7 win over Virginia Tech on Tuesday. But the Eagles needed a victory over Clemson to secure an NCAA regional at the Eddie Pellagrini Diamond at the Harrington Athletic Village at Brighton Fields.

The 22nd-ranked Eagles still have an outside chance to become the first New England school to host an NCAA regional on campus since No. 3 seed Maine procured the Northeast Regional in 1991. The NCAA bracket will be announced Monday at noon and BC (35-18) will secure a favorable slot in the field of 64.

“We have a facility now that we can be proud of and the opportunity to show it off would be fortunate,” said BC coach Mike Gambino. “The thing about it is, the city of Boston turns out for big events and this will be a big deal in the city. It will be a huge deal for our program and a huge deal for the university.”

Clemson scored two in the first and added a pair in the second to go up 4-0 while Tigers’ starter Austin Gordon threw six innings of shutout ball. Nick Wang scored the lone BC run with a two-out homer in the ninth.

RICH THOMPSON