The bipartisan bill would scale back a program sending surplus military equipment to police.
Manning criticized Obama's strategy, saying attacks would only bolster the group.
"If it meets what the president wants, the Senate will pass it," she said.
House and Senate lawmakers are holding informal talks, Rep. Mac Thornberry said.
Jindal said Obama had authority for airstrikes and urged Congress to approve training rebels.
McCain questioned Paul's warning against arming vetted Syrian rebels.
The planned response to ISIS places too much emphasis on military force.
The Senate voted to end debate on two nominees to the Nuclear Regulatory Commission.
The Pentagon would be required to list every individual they are recruiting.
Lawmakers have expressed skepticism about trying to arm moderate Syrian rebels.
Gen. Philip Breedlove said NATO can no longer assume Russia is a “constructive” partner.
Paul said "most of the arms" given to Syrian groups have ended up with ISIS.
Gen. Dempsey was "referring to a hypothetical scenario," the White House said.
The Senate confirmed two nominees to the Nuclear Regulatory Commission on Tuesday.
Sen. Joe Manchin (D-W.Va.) says he'll be a no vote.
Some Republicans aren't sure a majority of their conference will back vote.
President Obama will be briefed on military plans on Wednesday, Hagel says.
Obama has vowed to hit "ISIL targets as Iraqi forces go on offense."
Resolution only authorizes the president to equip and train the rebels until Dec. 11.
The Pentagon plans to train and equip more than 5,000 of the rebels for one year.
Majority Leader Kevin McCarthy expressed confidence the amendment will pass.
Rep. Adam Schiff says Obama needs approval to launch what "amounts to war."
The White House is “gratified” by early signs of support for the president’s request.
State Department officials have not named the countries that offered support.