Including Krushelnitsky's, Olympic Athletes from Russian Federation have so far won 11 medals in Pyengchang - three silver and eight bronze.
He had earlier said that Russian curlers were tested on January 22 before arriving in South Korea and the tests were negative.
The statement said: "According to the unbiased results of laboratory analysis of Alexander Krushelnitsky's samples detected concentration of the substance can be indicative of taking it once, which is not applied in medical practice and is absolutely useless and ineffective in the context of enhancing physical performance or sports results".
The Russians were hoping a clean record at PyeongChang would persuade the International Olympic Committee to allow them to shed their neutral status at Sunday's closing ceremony and to march behind a Russian flag and in national uniform. The drug, which was banned in 2016, led to Russian tennis player and former world No 1 Maria Sharapova being barred from competition for 15 months.
Meldonium's main use is to treat ischaemia, which is a lack of blood flow to parts of the body, particularly in cases of heart failure or angina.
Although the idea of a curler using performance-enhancing drugs may seem unusual, the sport demands a high level of physical fitness at the Olympic level.
No hearing date has been set for Krushelnitsky, although Adams hinted that the failed test could result in punishments for the entire Russian team.
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If the result is confirmed, it would then be up to the OAR Implementation Group to report its findings to the IOC's executive board at the end of the Winter Games - a little over one week from now.
"You're responsible for what goes in your body", Hamilton said.
Russian women's curling coach Sergei Belanov said he didn't believe that a young and "clever man" would dope. The bronze medalist's teammates reportedly believe he is innocent.
"We have stayed away from those kind of topics for a long time", he said.
Krushelnitckii wasn't the only athlete who tested positive in South Korea.
For curling, a sport that requires sliding a heavy stone and aggressively sweeping ice in front of it to direct its motion, doping could yield an advantage, especially in the doubles version of the event, where team members sweep more than they would on a larger team. "I think that's stupid".
"It could have benefited those guys (OAR) as they had a really late game when they lost their semi-final", he said.
"First of all, I want to apologise to my partners on the Olympic team, our delegation and all the fans for not being able to protect ourselves and Nastya from the problems that we faced today", Krushelnitckii said in a statement, sent to insidethegames. "I'm sure surprised", she said.