After President Donald Trump made an offer Saturday to end the government shutdown by promising temporary protections for some undocumented immigrants -- such as so-called Dreamers -- in exchange for funding for a wall along the U.S. border with Mexico, Democratic lawmakers and others objected to the proposal. 

"I am here today to break the logjam," said Trump on Saturday, presenting a plan to offer three years of protections for hundreds of thousands immigrants potentially in danger of getting deported and whose temporary immigration status would expire. In return, Trump wanted $5.7 billion in funding for his long-promised wall.

But leading Democrats pushed back at Trump's proposal just before his announcement and through Sunday.

Minutes prior to Trump's speech, House Speaker Nancy Pelosi, Democrat of California, said in a statement that leaked reports of Trump's proposal revealed it's just a "compilation of previously rejected initiatives, each of which is unacceptable and in total, do not represent a good faith effort to restore certainty to people's lives."

Then on Fox News Sunday, Congressman James E. Clyburn, a Democrat of South Carolina, called for re-opening the government and then making a deal on immigration, when asked why he "flatly rejected" the president's offer. 

"I think it's a non-starter for him to ask for a permanent wall, and for us to have a temporary fix" for immigrants in limbo in the U.S., said Clyburn. 

Some conservative commentators also lashed out at Trump as offering "amnesty."

Under the president's plan, the "Dreamer" immigrants whose parents brought them to the U.S. illegally at a young age would be given three years of "legislative relief" from potential deportation. Trump also offered a three-year extension of temporary protected status, or TPS, for hundreds of thousands of additional immigrants -- refugees temporarily allowed to stay in the country.

During the address Saturday, Trump also called for hundreds of millions in funding and resources to offer "humanitarian assistance," enhanced drug enforcement, added immigration judges, more border patrol agents, and measures he claimed would protect migrant children.

Congress and the president have so far failed to agree on a budget that would end the standoff between Trump and Democrats and reopen the federal government, a quarter of which has been closed for nearly a month. Trump has demanded that billions be allotted to put up a border wall, but Democrats have balked at the proposal, which was central to his campaign for president in 2016, when he promised Mexico would foot the bill for the barrier.

Trump also repeated Saturday many of his previous comments about what he portrays as the "humanitarian and security crisis on our southern boarder" and claimed that mothers give their girls birth-control pills on their journey to the U.S., because they know they may be raped or sexually assaulted.

"I promised I would fix this crisis and I intend to keep this promise one way or another," said Trump.

This story has been updated.