Meanwhile, Ryan also faced a revolt from the other wing of his party, as the very conservative House Freedom Caucus threatened to withhold their votes on an unrelated farm bill later this week unless Ryan agrees to bring to the floor a tough bill that would clamp down on legal immigration.
Since Democrats seem nearly unanimously against the farm bill, House Speaker Paul Ryan (R-Wis.) needs most Republicans to support it.
Moderate Republicans and Democrats are trying to force a vote on a separate immigration bill through a parliamentary maneuver known as a "discharge petition", which can bring legislation to the floor of the House against the wishes of party leaders.
Rep. Bill Flores paraphrased the speaker as telling Republicans to "quit messing around with the discharge petition" and that it's "not a path to success".
"We think it's important we have a vote on Goodlatte and at this point, we were not able to convince any of our members to go from "no" to "yes" on the farm bill", Meadows said.
The moderates are trying to get 218 signatures a House majority on a petition to force the House to vote on four immigration bills.
"We don't have an agreement", House Freedom Caucus chairman Mark Meadows (R-N.C.) told reporters Thursday after coming out of a meeting with his conservative group.
"They alluded to some magic formula", the South Carolina Republican said.
So far, 18 of the House's 235 Republicans signed a petition aimed at forcing a wide-ranging immigration debate that would allow the bill with the most votes to advance to the Senate.
"We imagine that this bipartisan invoice that the members have put collectively, who share the worth of defending the DREAMers, is the invoice that will win if they might simply give us a vote, give us an opportunity".
"That is why we met with the president, to advance a technique that addresses the problems that our members have, the issues they've, however doing it in a manner the place we even have a course of that may get a presidential signature, and never a presidential veto", Ryan stated. "We want to advance something that has a chance of going into law where the President would support it".
With farm subsidy programs expiring at the end of September, the Freedom Caucus believes the farm bill is the only must-pass piece of legislation they can use to extract concessions on immigration, which they believe is a related issue to the farm bill anyway.
"I'm supportive of that leverage", Sanford said. When Katko and Trott signed during the first vote series of the day - which is the main opportunity that lawmakers have to sign by hand the petition kept on the House floor - Republican petition backers, California's Jeff Denham and Curbelo, were seen walking the floor, talking to members and each other.