Sen. Ted CruzRafael (Ted) Edward CruzCruz urges UK to allow British toddler's parents to transfer him for treatment Maxine Waters to Trump: ‘Please resign’ Cruz challenger says ‘no thanks’ to funding from Steyer 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 RubioLobbying world Former Florida congressmen mull bipartisan gubernatorial run: report Winners and losers from Jim Bridenstine’s confirmation as NASA administrator MORE (Fla.), Rand PaulRandal (Rand) Howard PaulPompeo set to be confirmed on Thursday GOP anxiety grows over Trump’s Iran decision Overnight Defense: VA nominee on the ropes | White House signals it will fight for pick | Trump talks Syria with Macron | McConnell tees up Pompeo vote MORE (Ky.), and Mike LeeMichael (Mike) Shumway LeeSenators to Trump: Let Mueller finish Russia probe The Hill's Morning Report: Can Trump’s VA pick make it through the week? Mike Lee pens op-ed calling legislation to protect Mueller 'unconstitutional' MORE (Utah), all signers of the filibuster pledge. Sen. Lindsey GrahamLindsey Olin GrahamGOP anxiety grows over Trump’s Iran decision Overnight Cybersecurity: Senators eye path forward on election security bill | Facebook isn't winning over privacy advocates | New hacks target health care Paul backs Pompeo, clearing path for confirmation 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 hits back at 'ridiculous' Chinaperson remark Overnight Defense: New allegations against VA nominee | Pompeo vote set for Thursday | Work begins on defense policy bill | Measures push space corps, pay bump for troops Pompeo set to be confirmed on Thursday 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 GrassleyGOP moves to cut debate time for Trump nominees Democrats fret over GOP changes to Mueller bill Let Robert Mueller do his job MORE (Iowa) and Graham.

— Updated at 8:08 a.m.