Moore finished with 36 points, including 12 straight as she tried to rally the Huskies from a 12-point deficit in the final six minutes, but it wasn't enough.
The four-time all-American and AP player of the year was overshadowed by Diggins, the South Bend, Ind., native who felt right at home in Conseco Fieldhouse, where she led her high school to three straight championships. Now she can add an NCAA championship to that list with a victory Tuesday night.
"We had to be poised. I mean, we had to try to make Maya take tough shots, and I think she did," Diggins said. "And at the end we said, 'We have to stay poised on defense, and we have to execute on offense.' We showed a lot more poise than we did in the first three games against Connecticut."
Trailing by 34-26 early in the second half, Diggins' three-point play started a 15-4 run by the Irish. Devereaux Peters added her own three-point play that gave Notre Dame a 38-37 advantage - its first lead since midway through the first half.
Diggins capped the burst with another three-point play that made it 41-38 with 13 minutes, 17 seconds left, bringing the pro-Irish crowd to its feet and leaving Geno Auriemma's team reeling.
The Irish extended their lead to 47-40 a few minutes later before UConn cut the deficit to four on Bria Hartley's three-pointer.
Brittany Mallory and Natalie Novosel hit consecutive three-pointers to make it a 12-point game with just over seven minutes left. Moore did her best to try to rally her young team, but the Huskies fell short.
Texas A&M 63, Stanford 62 - The Aggies rallied from a 10-point deficit in the final six minutes, and Sydney Colson drove the length of the floor and found Tyra White for a layup with 3.3 seconds left to give Texas A&M the win.
After Sydney Carter stole Stanford's final pass, the Aggies leaped for joy.
"It shows our competitiveness, our toughness. We love each other like sisters," White said. "We weren't just happy to be here, we wanted to win."
Stanford (33-3) got 31 points from Nnemkadi Ogwumike and 11 from Jeanette Pohlen but blew the late lead and went home empty-handed from the Final Four for the fourth consecutive year.
The Cardinal were the first team in this year's NCAA tournament to top 50 points against Texas A&M. Stanford entered the game averaging 79 points per game, but the Cardinal played at Texas A&M's plodding pace. Stanford committed a season-high 22 turnovers and matched its lowest point total of the season.
Stanford lost in the national championship game in 2008 and last year. The Cardinal lost in a 2009 semifinal.
If it can beat Notre Dame on Tuesday night, Texas A&M (32-5) would leave Indianapolis with an improbable national championship.
White scored 18 points, and all-American Danielle Adams had 16 points to help the Aggies end Stanford's winning streak at 27 in a row.
A&M trailed by 54-44 with 6:01 to go. Adams started an 8-0 run with two free throws, and Colson - who woozily went to the bench after a hard screen earlier in the half - finally gave Texas A&M a 59-58 lead by making two free throws with 53 seconds left.
Eighteen seconds later, Adams was called for a foul on Ogwumike. The upset Adams got up and started running toward the Aggies bench, with one of the referees telling her to calm down. Ogwumike made both shots to give Stanford a 60-59 lead.
"It was hectic, you know," Aggies guard Sydney Carter said. "Everybody was saying 30 seconds for the rest of y'all's lives."
A&M came back with White's layup with 19 seconds to go, only to have Ogwumike answer with a tough layup with nine seconds left that gave Stanford a 62-61 lead.
The Aggies, without a timeout, immediately got the ball to Colson, who raced up the floor and dished to the cutting White for the winner.
"It's time to make history," Colson said. "Forget that you're tired and just push through it, and I think it's exactly what we did."