Sen. Ted CruzRafael (Ted) Edward CruzSasse statement: Trump nominee who spread conspiracy theories has a ‘tinfoil hat’ Coalition of 44 groups calls for passage of drug pricing bill For the sake of our democracy, politicians must stop bickering 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 Antonio RubioTrump must send Russia powerful message through tougher actions McCain, Coons immigration bill sparks Trump backlash Taking a strong stance to protect election integrity MORE (Fla.), Rand PaulRandal (Rand) Howard PaulPentagon: War in Afghanistan will cost billion in 2018 Overnight Finance: Senators near two-year budget deal | Trump would 'love to see a shutdown' over immigration | Dow closes nearly 600 points higher after volatile day | Trade deficit at highest level since 2008 | Pawlenty leaving Wall Street group Rand Paul calls for punishment if Congress can't reach a long-term budget deal MORE (Ky.), and Mike LeeMichael (Mike) Shumway LeeRubio on push for paid family leave: ‘We still have to work on members of my own party’ National ad campaign pushes Congress to pass legislation lowering drug prices Senate Republicans call on Trump to preserve NAFTA MORE (Utah), all signers of the filibuster pledge. Sen. Lindsey GrahamLindsey Olin GrahamMcConnell: 'Whoever gets to 60 wins' on immigration Overnight Tech: Uber exec says 'no justification' for covering up hack | Apple considers battery rebates | Regulators talk bitcoin | SpaceX launches world's most powerful rocket Overnight Cybersecurity: Tillerson proposes new cyber bureau at State | Senate bill would clarify cross-border data rules | Uber exec says 'no justification' for covering up breach 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 ManchinJoseph (Joe) ManchinMcConnell: 'Whoever gets to 60 wins' on immigration Manchin: Senators should sign pledge not to campaign against each other  GOP senators turning Trump immigration framework into legislation 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 GrassleyCharles (Chuck) Ernest GrassleyOvernight Cybersecurity: Tillerson proposes new cyber bureau at State | Senate bill would clarify cross-border data rules | Uber exec says 'no justification' for covering up breach Overnight Finance: Senators near two-year budget deal | Trump would 'love to see a shutdown' over immigration | Dow closes nearly 600 points higher after volatile day | Trade deficit at highest level since 2008 | Pawlenty leaving Wall Street group Grassley to Sessions: Policy for employees does not comply with the law MORE (Iowa) and Graham.

— Updated at 8:08 a.m.