Wright had 12 points and 15 rebounds, and Ramon Galloway added 13 points and seven boards as La Salle (19-7, 9-4) outrebounded Rhode Island 37-31.
Though the Explorers, who have won five of their last six games, shot 30.4 percent (7 of 23) in the first half and trailed at halftime 30-27, they improved to 55.2 percent (16 of 29) after intermission.
Trailing 37-30 at the 18:10 mark, La Salle took control of the game with a 30-12 run, capped by Wright's dunk to go up 60-49 with 7:42 remaining. The Explorers led the rest of the way.
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point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.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.