Senior Mackenzie Tesei and sophomore Sandy Smith each scored three goals, two of the 13 different players who scored, and the 17th-ranked Stanford lacrosse team recorded a 20-1 victory over visiting St. Mary's in the Mountain Pacific Sports Federation opener for both teams.
The Cardinal (1-1, 1-0 MPSF) hosts No. 19 Ohio State in a non-conference match Sunday at noon.
Senior Anna Salemo scored at the 28:12 mark of the first half, sparking a series of seven goals over the next two minutes.
Tesei scored two of her goals during the stretch, which also included goals from Dikeou, Kelly Myers, Dillon Schoen and Kelsey Murray.
Smith scored all three of her goals within a 15-minute span of the first half as the Cardinal built a 15-0 halftime advantage.
Stanford scored 20 goals on 28 shots while holding the Gaels to two total shot attempts. St. Mary's avoided the shutout by scoring with 2:42 remaining to play.
Sophomore Allie DaCar and freshman Shahpar Mirza each played a half in goal for the Cardinal, with DaCar the winner.
Stanford is the defending MPSF champion and is seeking its fourth straight trip to the NCAA tournament, and the sixth in seven years under coach Amy Bokker, who needs three wins for 100 at Stanford and nine wins for 200 overall.
David Boote's team-best 4-under 67 steadied Stanford on Tuesday at The Prestige at PGA West.
Boote, tied for 23rd, used an eagle on the par-4 14th along with five birdies to pace the Cardinal through 36 holes of the three-round event at the Greg Norman Course.
Maverick McNealy (74) and Brandon Wu (75) are tied for 18th heading into the final day.
McNealy was 1-over through 15 holes before bogeys on 16 and 18, and Wu was even on the back nine.
Isaiah Salinda, tied for 25th, was even through 15 during his 1-over 72, and Jeffrey Swegle was even through 17 before a bogey on the 18th dropped him into a tie with Salinda at 1-over (72) for the round.
Overall, Stanford (282-285) is third heading into Wednesday's final round at 1-under. Arizona State (-15) and LSU (-7) lead the 15-team field.