A $1.8 billion fund to compensate Trump's allies who claim they have been unjustly investigated and prosecuted proved politically toxic and was scrapped from the bill.
The House speaker said he doesn't "see a way to amend the Constitution" to allow for Trump to seek a third term in office.
The Senate planned to vote again Wednesday and Thursday on the Republican bill, and so far there are no signs of any movement on either side.
The White House budget office says that mass firings have started in an attempt to exert more pressure on Democratic lawmakers as the shutdown continues.
Trump and top Republicans falsely accuse Democrats of demanding that free health care be given to "illegal aliens."
The government runs out of funding at midnight from Sept. 30 to Oct. 1.
