Sen. Ted CruzTed CruzTrump wants to cut red tape? He should start with the CFPB. Why President Trump should choose Maureen Ohlhausen to lead the FTC Trump to speak at CPAC MORE (R-Texas) on Monday introduced two gun bills, one of which is co-sponsored by a group of 10 Republicans, many of whom signed a pledge earlier this month to filibuster attempts to pass gun control.

The measures provide an alternative to the gun control bill the Senate will begin debate on this week, which would expand background checks on gun purchases, crack down on gun trafficking and beef up security in schools. GOP senators have vowed to block that bill, claiming it goes too far and infringes on the rights of gun owners.

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Cruz introduced a bill to “protect law abiding citizens by preventing criminals from obtaining firearms.” Among the 10 GOP co-sponsors are Sens. Marco RubioMarco RubioSchumer: GOP will break from Trump within months GOP loses top Senate contenders How does placing sanctions on Russia help America? MORE (Fla.), Rand PaulRand PaulTrump’s feud with the press in the spotlight Rand Paul: We’re very lucky John McCain’s not in charge Rand Paul: John Bolton would be a 'bad choice' for national security adviser MORE (Ky.), and Mike LeeMike LeeTop antitrust senators call for Sessions to scrutinize AT&T-Time Warner merger Public lands dispute costs Utah a major trade show GOP senators unveil bill to give Congress control of consumer bureau budget MORE (Utah), all signers of the filibuster pledge. Sen. Lindsey GrahamLindsey GrahamCheney to intro Pence at Jewish GOP event CEOs come to defense of border tax plan Trump’s feud with the press in the spotlight MORE (S.C.) is also a co-sponsor.

Cruz also introduced an alternative bill aimed at preventing the trafficking and straw purchasing of firearms that does not presently have any co-sponsors.

The text of the bills is not yet available.

A source close to negotiations told The Hill that Republicans are working on further legislation that would focus on enforcing, rather than expanding, the current background-check system and a bill that aims to improve mental health record-keeping.

A focused lobbying effort by families of the victims of the Newtown massacre last week and a background-check deal between Sen. Joe ManchinJoe ManchinPruitt confirmation sets stage for Trump EPA assault Pruitt sworn in as EPA chief EPA breaks Twitter silence to congratulate new head MORE (W.Va.), a centrist Democrat who has an “A” rating from the National Rifle Association, and conservative Republican Sen. Pat Toomey (Pa.) created momentum for gun control legislation last week.

The Senate voted on Thursday to begin debate on the original bill and amendments despite filibuster threats, but the measure still faces an uphill climb. Democrats will need a handful of Republicans to vote in favor of a final bill to send it to the House, but the party can’t count on all of its members to support a final bill.

Cruz spokeswoman Catherine Frazier pointed to the NRA’s decision to grade lawmakers' votes on a procedural motion for the bill — a move that deviates from the group's standard protocol — as evidence the effort “to prevent such legislation is gaining momentum."

Sens. Manchin and Toomey are working to rally support for their background-check provision, and other senators are working on alternative gun bills, including Sens. Chuck GrassleyChuck GrassleyRepublicans at risk in 2018 steering clear of town halls Iowa farmer warns Grassley about creating 'one great big death panel' with ObamaCare repeal Senate eyeing vote on Trump's Supreme Court nominee by Easter MORE (Iowa) and Graham.

— Updated at 8:08 a.m.