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Palo Alto, Calif. • For the BYU women's soccer team on Thursday night in a rematch with Stanford, the effort was better but the result was the same.

In an NCAA Tournament second-round match, Stanford freshman midfielder Jordan DiBiasi scored a pair of goals, including the game winner in the 75th minute, and the top-seeded Cardinal held off BYU 2-1 at Laird Cagan Stadium.

Stanford (18-2-1) will meet Pac-12 rival Arizona on Saturday in a Round of 16 match. The Wildcats downed Santa Clara earlier Thursday.

The Cougars finish the season at 16-3-2, with two of those losses coming against Stanford.

DiBiasi scored the lone goal in Stanford's 1-0 preseason win over BYU on Sept. 7.

She opened the scoring Thursday with a zinger from about 18 yards out to the upper left corner of the net in the 28th minute, and Stanford led 1-0 at halftime.

Early in the second half, BYU's Nadia Gomes was tripped in the penalty box and Bizzy Phillips booted a penalty kick past Stanford goalkeeper Jane Campbell to knot the score at 1-1. It was the Cougars' only penalty kick of the season.

But DiBiasi slotted a shot past BYU goalkeeper Rachel Boaz about 17 minutes later, to effectively end the Cougars' season.

BYU had some chances for the equalizer in the final 10 minutes, but couldn't solve Campbell, the Pac-12 goalkeeper of the year.

Stanford out-shot BYU 15-10, but BYU had six shots on frame to just five for the Cardinal. Campbell made five saves and BYU's Boaz had three.

The Cardinal had a 9-4 advantage in corner kicks back in September, but just 6-4 this time, as BYU played the Pac-12 champions more evenly in the rematch.

Stanford won the NCAA title in 2011 and will make its sixth straight appearance in the Round of 16.