With all new senators having been sworn in, Majority Leader Mitch McConnell welcomed the new members on the Senate floor.

"To say the 117th congress convenes at a challenging time would indeed be an understatement. From political divisions to a deadly pandemic to adversaries around the world the hurdles before us are many and they are serious, but there are also plenty of reasons for hope," McConnell said.

The Senate also passed a series of administrative resolutions and standing orders for the new Congress -- including an agreement to Wednesday as a the date to count electoral votes. It's a date already set, but this formalizes it.

In his welcoming remarks, McConnell urged members to remember their oath to the Constitution.

"We gavel in today like 116 prior Senates have gaveled in before us with plenty of disagreements and policy differences among our ranks but all -- all swearing the same oath to support and defend the same Constitution," McConnell said. "All loving the same country and all of us committed to do what we can to leave behind an even stronger nation than the one we've been blessed to inherit."

The Senate stands adjourned until Wednesday.

-ABC News' Allison Pecorin

Wisconsin Democrat Rep. Gwen Moore will participate in Sunday’s opening day events –- including the House speaker’s vote, according to her office, after testing positive for COVID-19 just six days ago.

Republicans complained that her presence “certainly seems to be in violation of the (Office of the Attending Physician) quarantine guidance,” and wonder how it was safe for her to travel to Washington after her diagnosis.

A senior Democratic aide did not immediately respond to an inquiry questioning whether special accommodations were being made for Moore, whose office also has not yet answered inquiries regarding how she traveled to Washington following her infection.

One Democratic member, who said he received his first dose of the COVID-19 vaccine last Tuesday, told ABC News that he is “staying clear of everyone,” pivoting to observe that some Republicans are at the Capitol and not wearing masks.

Speaker Nancy Pelosi, whose path to the speakership is narrow with such a slim majority in the new Congress, will depend on Moore’s support to keep her position.

After opening the 117th Congress with the prayer and pledge, the House has initiated a quorum call to establish sufficient attendance ahead of the vote for speaker later in the afternoon. Lawmakers are appearing in groups of 72, arranged by alphabetical order of their last names.

-ABC News' John Parkinson and Benjamin Siegel

The Senate floor is open and Vice President Mike Pence is presiding over the swearing in of the new Senate.

Senators are presenting themselves in pairs -- in alphabetical order and accompanied by the other senator who represents their state -- where a masked Pence is administering the oath to each pair. The first pair of senators sworn in, Sen. Cory Booker, D-N.J., and Shelly Moore-Capito, R-W.Va., each elbow bumped Pence after taking the oath.

The chamber appears almost entirely full and members are applauding after each administered oath.

The Senate will welcome six new members: Cynthia Lummis, R-Wyo., Ben Ray Lujan, D-N.M., John Hickenlooper, D-Colo,, Roger Marshall, R-Kan., and Bill Hagerty, R-Tenn. Sen. Mark Kelly, D-Ariz., was sworn in late last year.

Two Senate seats remain outstanding pending the Georgia runoff elections on Tuesday. Sen. Kelly Loeffler will maintain her seat because it was an appointment, but Sen. David Perdue's term expires as soon as the new members are sworn in.

-ABC News' Allison Pecorin

The 117th session of Congress will begin with both chambers meeting at noon, as required by the Constitution.

New members of the House and Senate will be sworn in under unusual circumstances given the pandemic, with social distancing and fewer family members and supporters in attendance.

Because control of the Senate hinges on the Georgia Senate runoffs, Republicans will begin the new Congress with control of the chamber and a 51-seat majority. The seat of Sen. David Perdue, R-Ga., will be vacant until a winner is formally certified in Tuesday's runoff election.

Sunday afternoon, the House will elect a speaker.

Nancy Pelosi is expected to win with the narrowest of margins, given Democrats’ historically slim majority, but the vote is expected to take longer than last year because of the coronavirus precautions that require lawmakers to enter the chamber in waves.

-ABC News' Mariam Khan and Benjamin Siegel

In a previously recorded campaign-style video posted to Twitter Thursday, President Donald Trump touted what he views as his many presidential accomplishments: producing COVID-19 vaccines, repairing the economy and stopping "endless foreign wars" in the Middle East.

When it comes to vaccines, Trump said, "Our most vulnerable citizens are already receiving the vaccine and millions of doses are quickly being shipped all across our country."
The president promised that "by early next year the vaccine will be available to every American."

The Trump administration had promised that 20 million people would be vaccinated by the end of the year. As of Wednesday morning, 2,794,588 Americans had received vaccine doses and 12.4 million doses had been distributed, according to the Centers for Disease Control and Prevention.

Trump also boasted about the economy, saying, "Through the Paycheck Protection Program, we saved or supported more than 51 million American jobs, and we're doing numbers now like nobody's ever seen before, including having the highest stock market in the history of the world."

"We have slashed the unemployment rate from 14.7%, all the way down to 6.7%," Trump said. "Our economy is growing at the most rapid rate ever recorded. ... Nobody can compete with us in terms of going down less, and going up by far the fastest and the best. Whenever America's challenged, we always rise to the occasion."

Many economists, however, have argued that the economy is rebounding in a K-shape, as opposed to a V-shape, with the rich getting richer and the working class still struggling.

The president also touched on foreign affairs.

"We have secured our borders and paused immigration to protect American workers," Trump said. "And after years of endless foreign wars we are signing historic peace deals in the Middle East. It's all ending in the Middle East. We have to hope it keeps going. It's so easy if you know what you're doing."

While Trump has successfully pushed to normalize relations between Israel and many Middle Eastern countries, it's not accurate to say they are "peace deals" and they have come at the expense of Palestinians and aligned the countries against Iran. Iran, and its nuclear ambitions, continues to be a thorn in America's side. Trump has drawn down forces from Afghanistan and Iraq, but promised negotiations between the Afghan government and the Taliban fell apart and ISIS and al-Qaida affiliates are taking advantage of the insecurity in Syria, Northern Africa and elsewhere.

ABC News' Elizabeth Thomas contributed to this report.