Mariners general manager Jack Zduriencik said Friday the club is still reeling from news of Halman's death, after police were called to an apartment in Rotterdam last Monday following an early morning incident that resulted in his fatal stabbing.
Halman's younger brother, Jason, 22, continues to be held by police, though no charges have yet been filed. The Associated Press reported Friday that an investigating judge in The Hague has ordered Jason Halman to be detained for two more weeks on suspicion of murder or manslaughter.
Police have said loud music apparently led Greg Halman to go downstairs to his brother's apartment in the building where the two were living.
Halman, 24, played 35 games for the Mariners last season as a rookie and was expected to battle for a roster spot in the outfield in Spring Training, but Zduriencik said all that is unimportant at the moment.
"From the baseball standpoint, this kid had an immense amount of talent," Zduriencik said. "We were just waiting for it all to come together. He was from Europe and didn't have as much time in baseball, but the growth was coming.
"He was a great personality and physical specimen with a lot of tools. But that's the baseball part of it," Zduriencik said. "You put that aside. A life was lost at 24. You just can't put that into words. It goes way beyond baseball.
"Every other thing is secondary when you realize you're not going to see him anymore, and his family is dealing with such tragedy. We're all broken hearted. I don't know what else to say. We're all grieving. You could sit here and say a lot of things and never say enough. None of us have words for this."
Halman is survived by his parents, Eddy Halman and Hanny Suidgeest, as well as several brothers and sisters.
Eddy Halman played baseball on the Dutch national team in the 1970s. Halman's sister, Naomi Halman, played college basketball in the U.S. for a year at UC-Irvine and is now playing professionally in Italy, as well as with the Dutch national squad.
Jason Halman is also a baseball player, having played catcher for the local Kinheim squad in Haarlem for the past several seasons. He was a member of the 2010 Dutch national team in the European Championships and International Cup.