US President Donald Trump speaks to the press as he departs the White House in Washington, DC, for his annual visit to Walter Reed National Military Medical Center, on October 4, 2019.

The White House is discussing blocking government pension funds from investing in China, Bloomberg News reported Tuesday.

The White House previously denied reports that it is considering ways to limit U.S. investments in China. White House adviser Peter Navarro told CNBC the reports were "fake news." However, people familiar with the matter told Bloomberg News that Trump officials met last week about the deliberations.

In addition to curbing government pension investments, the administration is now honing in on how to limit stock index providers from including Chinese stocks. National Economic Council Director Larry Kudlow held a policy meeting last week with officials from the National Security Council and the Treasury Department, reports said.

Bloomberg News first reported last month that Trump administration officials are weighing delisting Chinese companies from American stock exchanges and preventing U.S. government pension funds from investing in the Chinese market. The Treasury Department also denied the reports from Bloomberg.