Sen. Joe Manchin, D-W.Va., is one of nine senators participating in a virtual meeting with Biden early Monday afternoon. Manchin, a moderate Democrat, has become a powerful vote in the 50-50 split Senate.

In the president's big push for the Senate to pass his COVID-19 relief bill, Manchin's support is vital to winning passage. Manchin and Sen. Kyrsten Sinema, D-Ariz., have already been publicly critical of the administration's push to add a $15 minimum wage increase to the bill.

Secretary of Homeland Security Alejandro Mayorkas also discussed the administration's policy on unaccompanied minors in the immigration system on Monday the White House press briefing, a topic for which the Biden administration has come under much fire.

Mayorkas stressed that minors were only temporarily in the system before being placed with sponsors or going into the care of the Department of Health and Human Services. He stressed that the Biden administration would handle child migrants differently from the Trump administration when pressed by reporters.

"Well, actually, the Trump administration expelled children to Mexico, and we are not expelling young children. We are not apprehending a nine-year-old child who's come alone, who has traversed Mexico, whose loving parents had sent that child alone. We're not expelling that nine-year-old child to Mexico when that child's country of origin was Guatemala, Honduras or El Salvador," Mayorkas said. "We are actually bringing that child into a Border Patrol station, as a stepping point to get that child in the hands of HHS that has the capacity and and the unique talents to care for the child."

"We are taking a look at where efficiencies can be achieved in the best interest of the child," Psaki said. "It is the best interest of the child that really define our actions."

He also discussed the work of the Child Reunification Task Force, an effort spearheaded by first lady Jill Biden, to try to get children reunited with families. Mayorkas boasted that 105 families have been reunited through the effort.

Secretary of Homeland Security Alejandro Mayorkas joined the White House press briefing Monday to discuss the Biden administration's immigration process.

Mayorkas began by shifting blame onto former President Donald Trump's policies, saying that since taking office, he has been working to undo the work of the past administration.

"Let me explain to you why it is hard and why it is going to take time. I think it is important to understand what we have inherited, because it defines the situation as it currently stands. Entire systems are not re-built in a day or in a few weeks," Mayorkas said. "To put it succinctly, the prior administration dismantled our nation's immigration system in its entirety."

Mayorkas emphasized that it would take time to "build out of the depths of the cruelty" of the Trump administration.

"When I started 27 days ago, I learned that we did not have the facilities available or equipped to administer the humanitarian laws that our Congress passed years ago. We did not have the personnel, policies, procedures or training to administer those laws," Mayorkas said. "Quite frankly, the entire system was gutted."

He also discussed the recent influx of migrants, saying that there has been a three-fold increase in crossings at the Southern border.

"I have to take this opportunity, at the same time, to reiterate a message that we have communicated repeatedly throughout which is a message to those individuals who are thinking of coming to our border: They need to wait," Mayorkas said. "It takes time to rebuild the system from scratch."

However, Mayorkas did not give a specific date about when the system will be able to handle more migrants when pressed by reporters.

Some of the lawmakers who signed onto a letter to Biden and Harris, asking them to overrule the Senate parliamentarian, urged the Senate to move forward with the $15 dollar minimum wage in a press call Monday morning.

"The idea that the impact on the budget of raising the minimum wage to $15 an hour is incidental is ridiculous, its not factually accurate, we should thank the parliamentarian for her advice, respect her completely, and make our own correct decisions to move forward with this," Rep. Mike Levine, D-Calif., said on the call.

The lawmakers highlighted the Senate's ability to disregard the decision, citing instances where it has occurred before and highlighting the increased urgency to raise the wage during the COVID-19 crisis.

"It's so important for the American people for us to not be gaslighted to believe that this is it, that we have no power," Rep. Rashida Tlaib, D-Mich., said. "We’re going to get tremendous support who don’t see how it's done but see that it gets done."

Multiple organizations who are advocating for the $15 minimum wage were also on the call this morning backing the progressive effort. Advocates and lawmakers both said it was imperative to raise the minimum wage to address racial disparities.

"This isn’t just an economic need it is a racial justice imperative," Rep. Barbara Lee, D-Calif., said. "Many people of color have been paid poverty pages for too long. One should not have to work to stay poor and that's what’s happening."

-ABC News' Allison Pecorin