Congressional leaders are closing in on a long-awaited coronavirus relief bill that could include a second round of direct payments to millions of Americans still reeling from the pandemic-induced recession.

The measure under discussion, which costs about $900 billion, is expected to exclude two of the most contentious issues: funding for state and local governments and a liability shield for businesses against coronavirus-related lawsuits.

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But the four leaders are also discussing adding another stimulus check to the package. It's unclear whether the payments would match the size of the checks in the March CARES Act, which sent up to $1,200 to adults earning less than $99,000 and included $500 for dependents under the age of 17. The Trump administration previously proposed sending $600 stimulus checks as a way to placate deficit-weary Republicans.

House Speaker Nancy Pelosi, Senate Majority Leader Mitch McConnell, Senate Minority Leader Chuck Schumer and House Minority Leader Kevin McCarthy met multiple times on Tuesday to discuss a relief package and were expected to continue negotiations on Wednesday.

Their meeting came after a bipartisan group of senators unveiled a $748 billion bill that included $300-a-week in sweetened jobless aid for 16 weeks, $300 billion for small businesses, $35 billion for health-care providers and $82 billion for schools. A more controversial $160 billion add-on would include aid for state and local governments and a liability shield for businesses against COVID-related lawsuits — the two thorniest issues that have plagued negotiations for months.