Valmiera had managed to tie the game in the second period, but Dolphins restored a slight edged at halftime, going into the break with a 29-26 advantage.
The Swedes stayed in front in throughout the third quarter as well, increasing the gap to 47-40 before the start of the final period.
After scoring four points in a row to start the fourth period, Dolphins jumped ahead to a double-digit lead at 51-41.
With four minute remaining, Valmiera got within six points (50-56) after a three-pointer by Maris Ziedins. However, a three-minute scoreless stretch by the Latvians gave Dolphins some breathing room.
Kendrick Brown increased the gap to 58-50, and although Janis Kaufmanis drilled a three to cut it to five points, Joakim Kjellbom scored five points in a row to end any hopes of a comeback.
Brown paced the winners with 18 points, Joakim Kjellbom added 15 points and 13 boards, while Edgars Jeromanovs chipped in with 10 points.
Valmiera’s top-scorer Janis Kaufmanis had 23 points, while, Maris Ziedins was the only other player in double figures with 10 points, also adding six boards.