The Washington, D.C. area is bracing for more ice after the city’s biggest snowstorm in nearly two years left the district in a blanket of snow on Monday.

The weather delayed all Senate votes Monday including one on Biden's homeland security secretary nominee Alejandro Mayorkas to Tuesday. It also delayed the start to in-person learning Monday in the District leaving students to continue classes online instead.

The president on Sunday night, after a day of flurries, tweeted he was "Grateful for the short commute on days like these" along with a photo of him walking on the White House portico.

Though the Senate has essentially taken a snow day, ten Republican senators are still scheduled to meet with Biden at the White House later Monday to pitch a counterproposal to his COVID-19 relief package costing about a third of the size.

A Senate vote on Biden's nominee to lead the Department of Homeland Security, Alejandro Mayorkas, that had been scheduled for Monday was pushed back until Tuesday because of the winter storm hitting Washington.

Mayorkas, on the cusp of Senate confirmation following a 55-42 procedural vote to close off debate on his nomination Thursday, is expected to be the fifth Biden Cabinet pick to be confirmed. If confirmed, he will be the first Latino and the first immigrant to lead the agency in charge of implementing the nation's immigration policies and border laws.

A former deputy secretary at the Department of Homeland Security, Mayorkas would return to the agency at a critical time for national security between the ongoing coronavirus pandemic and warning of domestic terror in the wake of the Capitol siege.

-ABC News' Trish Turner

Ten Republican senators are slated to meet with Biden at the White House Monday at 5 p.m. after requesting the chance to pitch to the president their compromise to his COVID-19 relief bill, or as the Biden team has branded it, the "American Rescue Plan."

The GOP counterproposal, with a $617 billion price tag, costs about a third of Biden's $1.9 trillion proposal. The senators' plan keeps $160 billion for vaccine distribution but would more strictly target relief checks to those making less than $50,000 instead of $99,000 as with the previous two rounds. It does not include relief for state and local governments.

Democrats, who narrowly control the Senate with Vice President Kamala Harris' tie-breaking vote, are moving to use special budget reconciliation rules to pass Biden’s package with a simple majority. Biden has said he hopes for unity and a bipartisan effort, but he's also a plan must pass, "no ifs, ands or buts."

Over the weekend, Senate Majority Leader Chuck Schumer also said he hopes COVID-19 relief will be bipartisan but made clear Democrats are prepared to move forward on their own -- and with a plan which would include funding for state and local governments.

With just a week until former President Donald Trump's second impeachment trial begins, the former president has a new legal team after all five of his previous lawyers quit over strategy disagreements. Trump's previous legal team wanted to argue the constitutionality of impeaching Trump after he has left office, while Trump wanted his team to argue there was election fraud. His new lawyers are David Schoen and Bruce L. Castor Jr.

The White House will hold a press briefing with its COVID-19 response team Monday at 11 a.m. and a briefing with White House press secretary Jen Psaki at 12:30 p.m.

To catch on live blog headlines from last week, click here.

In a written statement this evening, President Joe Biden called on Congress to pass his $1.9 trillion COVID-19 relief proposal "right away" to help pay for the additional costs to keep schools safe as they reopen.

He also urged states to prioritize vaccinations for teachers, based on the latest recommendations from the Centers for Disease Control and Prevention.

Biden said the CDC's guidelines to schools include "the best available scientific evidence on how to reopen schools safely" -- such as ensuring social distancing, masking, hand washing and more.

"To meet these guidelines, some schools will need more teachers and support staff to ensure smaller class sizes, more buses and bus drivers to transport our kids safely, more spaces to conduct in-person instruction, and more protective equipment, school cleaning services, and physical alterations to reduce the risk of spread of the virus," Biden wrote.

"These needs cost money," he continued. "But the cost of keeping our children, families, and educators safe is nothing when compared with the cost of inaction."

The House passed the Senate-amended budget resolution last week, paving the way for Biden's COVID-19 relief plan. House Democrats are currently working to assemble the package, with the goal to get a final bill to the president's desk before mid-March.

-ABC News' Ben Gittleson