House Republicans will meet behind closed doors Tuesday evening to discuss their leadership options in the wake of Speaker John BoehnerJohn Andrew BoehnerThe Hill's 12:30 Report — Presented by Citi — House postpones Rosenstein meeting | Trump hits Dems over Medicare for all | Hurricane Michael nears landfall Kavanaugh becomes new flashpoint in midterms defined by anger Juan Williams: The GOP can't govern MORE's (R-Ohio) resignation.

The notice for the 5 p.m. meeting in the Capitol basement says the Republican Conference will “discuss the strategy moving forward."

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Rep. Peter Roskam (R-Ill.), a former chief deputy whip who is mulling a run for majority leader, sent a letter to GOP colleagues over the weekend calling for a special, extra-long meeting to have an "open dialogue."

“Before we rush headlong into leadership elections, we need to take time to reflect on what has happened and have a serious discussion about why we're here serving, what we expect of our leaders, and how we plan to accomplish our goals,” he wrote in a letter to House GOP Conference Chairwoman Cathy McMorris RodgersCathy McMorris RodgersTrump 'baby blimp' flies in Washington state for Pence visit The Hill's 12:30 Report — Presented by Citi — FBI widens scope of Kavanaugh investigation | Nightmare vote for red-state Dems | Five weeks to midterms The Hill's Morning Report — Kavanaugh ordeal thrusts FBI into new political jam MORE (R-Wash.), who herself is also angling for majority leader.

A spokesman for McMorris Rodgers told The Hill over the weekend that she had already planned to schedule a conference meeting to discuss the next steps.

House Republicans have not yet announced when the leadership elections will take place. BoehnerJohn Andrew BoehnerThe Hill's 12:30 Report — Presented by Citi — House postpones Rosenstein meeting | Trump hits Dems over Medicare for all | Hurricane Michael nears landfall Kavanaugh becomes new flashpoint in midterms defined by anger Juan Williams: The GOP can't govern MORE will step down from Congress on Oct. 30.

Aside from Roskam and McMorris Rodgers, House Majority Whip Steve Scalise (R-La.) and House Budget Committee Chairman Tom Price (R-Ga.) are also gearing up to run for the majority leader slot.

The current majority leader, Kevin McCarthy (R-Calif.), is considered the odds-on favorite to succeed Boehner as Speaker.

- Scott Wong contributed.