Senators will also debate a defense bill across the Capitol.
Republicans are set to move forward with the measure in the face of a veto threat.
A Veterans Affairs watchdog found employees abused their positions for personal gain.
Pelosi's call comes after the Oregon shooting on Thursday.
The senators suggested the training program is doing more harm than good in Syria.
"I don’t know if he is that person," Trump says of the candidate for Speaker.
He called for a system that "prevents guns from being used by people who should not have them."
Peter Sullivan 10/01/15 05:02 PM EDT
Proponents say the bill will save businesses from premium increases.
The president has pledged to veto the bill.
Sen. Mitch McConnell slammed Democrats, suggesting they flip-flopped on the legislation.