CHICAGO (AP) -- Jeff Costello scored the game-winning goal in the third period as Notre Dame beat Miami (Ohio) 2-1 Sunday in the Hockey City Classic.

The Central Collegiate Hockey Association game at Chicago's Soldier Field was the first outdoor ever for third-ranked Miami and the first for Notre Dame in its 45 years of varsity hockey.

Mario Lucia scored the first goal of the game for the Irish (19-12-1, 15-8-1-1). Costello made it 2-0 at 8:33 of the third period. The RedHawks (19-8-6, 14-6-4-3) got within one on Kevin Morris' goal 1:03 later.

Notre Dame's Steven Summerhays made 22 saves as the Irish improved to 16-0-0 when leading after two periods. Ryan McKay had 26 stops for Miami.

Miami beat Notre Dame 3-1 to clinch a first-round bye for the playoffs.