"If we don't do it right, politically it's going to be the death of the Republican Party," warned Labrador on Sunday.
Priebus said it was "important that Republicans are taking a lead in this policy discussion."
Crossroads GPS is spending $100,000 on print ads in Beltway publications promoting immigration reform.
The event, at the home of media executive Peter Chernin, featured a mix of celebrities and high-level politicos.
The first lady will headline three fundraisers for the Democratic National Committee at private homes in Washington on Tuesday.
The former Republican presidential nominee plans to campaign and raise funds for congressional candidates.
The Republican State Leadership Committee is expanding its effort to recruit diverse candidates to state elected office, aiming to recruit 200 candidates from diverse backgrounds for the upcoming cycle.
When former Rep. Anthony Weiner (D-N.Y.) announced his candidacy last week for mayor of New York City, he pleaded with voters to give him a “second chance” to serve following the 2011 sexting scandal that derailed his political career.
According to a new poll, a majority of New Yorkers believe Weiner deserves that chance.
But the Marist poll, which found 53 percent of Big Apple voters feel Weiner should have the opportunity to redeem himself, also found 4 in 10 don’t believe he has the character to be mayor of the nation's largest city.
New York Democrats are distancing themselves from Anthony Weiner as their scandal-plagued former colleague tries to resurrect his political career.