With 2:40 to go in the second overtime, Rob Brandenburg made a 3-pointer that gave VCU the lead for good at 85-82. The Rams forced a 10-second backcourt violation and ran the shot clock down before Brandenburg made another 3 to extend the lead to 88-82.
Reddic's dunk with 59 seconds left punctuated VCU's 10-2 run at 92-84.
Graham also forced the first overtime by scoring the final six points of regulation. Graham's 34 points were a career high and the most scored at VCU (16-4, 4-1 Atlantic 10) during Shaka Smart's tenure.
La Salle (11-8, 3-2) nearly had the game wrapped up with a 73-67 lead and 1:15 left in the second half. Tyrone Garland led the Explorers with 30 points.
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Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.