Under fire for its response to the coronavirus epidemic, China’s authoritarian government appears to be pushing a new account of events that presents President Xi Jinping as taking early action to fight the outbreak that has convulsed the country.

But in doing so, the authorities have acknowledged for the first time that Mr. Xi was aware of the epidemic and involved in the response nearly two weeks before he first spoke publicly about it — and while officials at its epicenter in the city of Wuhan were still playing down its dangers.

That new account risks drawing the president, China’s most powerful leader in decades, directly into questions about whether top officials did too little, too late.

[Read the latest updates on the coronavirus epidemic here.]

In an internal speech published on Saturday, Mr. Xi said he had “issued demands about the efforts to prevent and control” the coronavirus on Jan. 7, during a meeting of the Politburo Standing Committee, the highest council of the Communist Party, whose sessions are typically cloaked in secrecy.