"No, I'm not concerned at all", The Hill quoted Trump as saying on Wednesday.
Earlier this week, an unauthorized Chinese woman identified as Yujing Zhang was arrested after entering Trump's Mar-a-Lago resort with "malicious malware". No, I think that was just a fluke situation and I think that the person sitting at the front desk did a very good job, to be honest with you.
Fuchs said the fact that the woman, who failed to get very far into the club, was there proves there are security risks.
According to CNN, the security breach is being seen as a possible espionage effort.
Senate Democrats are also asking the FBI to investigate potential security vulnerabilities at the club.
The Miami Herald, which broke the news of the federal counterintelligence probe, characterized it as a "never-before-reported investigation".
The Washington Post reported Trump responded that he was not anxious about potential espionage, since the Secret Service does its job well.
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Zhang had a host of passports and electronic devices with her when Secret Service agents finally figured out she wasn't supposed to be inside the Florida resort on Saturday, and one of the passports was for the People's Republic of China, according to the deposition filed in a Florida federal court that day by a Secret Service officer.
The Communist Party newspaper Global Times, known for its strident nationalism, ran a lengthy report on the Zhang and Yang cases, accusing the US media of hyping them as examples of Chinese "Trojan horses" entering Mar-a-Lago out of an excess of "Cold War thinking".
Zhang appeared in a federal court in Florida on Monday for an initial appearance. However, those charges could still land Zhang in prison for several years or force her to pay a hefty fine.
In a later interview with authorities off of Mar-a-Lago property, Zhang "freely and without difficulty conversed.in the English language", the agent wrote.
Commenting on the shooting hours later, President Trump told reporters that does not believe white nationalists pose a major threat to the United States.
After she was detained, she offered an additional story: that she was asked by a Chinese friend named Charles to travel from Shanghai to attend the event and attempt to speak to a member of the president's family about US-China economic relations, the document said.