Ms Liu, Australia's first Chinese-born MP, says she is no longer affiliated with any of the groups.
To the new developments about ASIO's views of the guest list at one of Ms Liu's events in 2018; ABC Political editor Andrew Probyn says after the Sam Dastyari embarrassment for Labor, then-prime minister Malcolm Turnbull's office chose to set up a procedure whereby any event, fundraiser or meeting that was requesting the prime minister's attendance would have to provide a guest list that would be vetted. Concern is growing about China's influence in Australia, which previous year banned covert foreign interference in domestic politics.
The ABC reported she had been a council member for two China Overseas Exchange Association chapters from 2003 to 2015, which were later rolled into China's United Front propaganda arm.
On Sky News last night, Ms Liu said she could not recall whether she was involved in the organisations.
"If I can't recall, I can't be an active member of that council can I?" she told Sky News host Andrew Bolt.
"If you're a member of something for 12 years it's pretty unusual if you can't remember whether you're a member of it".
In an attempt to clarify her membership of various Chinese organisations, Liu said she had been honorary president of the United Chinese Commerce Association of Australia, honorary president of the Australian Jiangmen General Commercial Association in 2016, and an honorary member of the Guangdong Overseas Exchange Association in 2011.
"They maintain that she has done nothing wrong", Mr Spicer said.
Liu said some Chinese associations "appoint people to honorary positions without their knowledge or permission".
"I have resigned from many organisations and I am in the process of auditing any organisations who may have added me as a member without my knowledge or consent", Liu said.
Ms Liu, who is the first Chinese woman elected to the House of Representatives, was questioned over her connections to the Chinese Communist Party propaganda organisations.
"My understanding is that a lot of countries [are] trying to claim ownership, sovereignty of the South China Sea, because of various reasons and my position is with the Australian government", she said.
Ms Liu was also asked multiple times if she believed China's claim to the South China Sea was unlawful, but she refused.
Damien Kingsbury, a Deakin University expert on global politics, said the controversy surrounding Liu raised national security concerns.
Huang made headlines when it was revealed that his company had paid Dastyari's personal legal bills and then appeared alongside the then-senator at a news conference for Chinese media where Dastyari supported Beijing's stance on the South China Sea, contradicting Australia's bipartisan policy.
Earlier, Labor's foreign affairs spokeswoman Penny Wong challenged Scott Morrison to assure the parliament and the public "that Gladys Liu is a fit and proper person to be in the Australian parliament".
"Money changed hands and his position was bought by that", Morrison told Parliament of Dastyari. "He was caught in his own web of corruption".