The president has said he will veto the bill over a budget dispute.
Public health experts and environmentalists wanted a stricter standard.
Joint closed-door session could be Kevin McCarthy's best chance to appease hard-liners.
The current speaker said the Benghazi probe will continue.
Democrats and liberal activists were largely pleased, saying the package was big step in the right direction.
"I am a devout, practicing Catholic. I’m a mother of five children," Pelosi retorted.
"They’re the first ones to run to TV or to talk radio and to attack pretty much everybody in the whole institution," Nunes said. "And I don’t think they’re interested in governing.”
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Russia’s real Syria target; Palestinians shun the Oslo Accords; and the long, slow ‘blitz’ of Kunduz
Your morning defense and foreign policy news roundup.