Recent days have seen a series of protests against Abdo's government amid overwhelmed hospitals and shortages of vaccines and drugs for COVID-19 patients.
Trump urged the crowd on January 6 to march on the Capitol, where Congress was meeting to affirm Joe Biden's presidential election.
Trump, 74, faced the charge of incitement of insurrection over the deadly January 6 assault of the US Capitol by his supporters.
Trump, a Republican, is the first-ever president to have been impeached twice and the first president to have faced impeachment after leaving office.
The president has long resisted lockdown measures against the new coronavirus, arguing economic damage would be worse than the disease.
Pence, who met Trump on Tuesday, wrote to Speaker Nancy Pelosi that he will not accept her request to remove Trump through a constitutional move, flouting her 24-hour notice for him to comply or have Trump impeached.
In a letter to her colleagues sent on Sunday, Pelosi said the House Democrats will introduce a resolution on Monday urging Vice President Mike Pence to "convene and mobilise the Cabinet to activate the 25th Amendment
California Congressman Ted Lieu, a Democratic member of the House Judiciary Committee, tweeted on Saturday that the article of impeachment, which has so far had 180 co-sponsors, will be brought forward
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