Thune added:

"My sense is we're not making a whole lot of progress today & we're back tomorrow."

Additionally, leaving Senate Majority Leader Mitch McConnell's office, Sens. Chuck Grassley and John Cornyn said that they didn't think there would be a vote tonight.

Update (1630ET): The new Democrat counterproposal will equate to nearly $2.5 trillion, including a $1,500 direct payment to citizens.

It will include $150 billion in healthcare funding, $80 billion in loans, and $600 per week in unemployment benefits for those affected by the virus. $215 billion will be allocated for state and local funds.

Via Bloomberg:

• Includes $1.5k in aid per individual; as much as $7.5k for a family of 5
• Would create a temporary Federal Pandemic Unemployment Compensation of $600 a week for any worker affected by the virus and eligible for unemployment compensation benefits