7-Eleven, Inc., proud owner of the Slurpee, has offered to help President Obama host a "Slurpee Summit," after numerous jokes have been made about the two parties sitting down together with the frozen drink. So far, the White House hasn't taken 7-Eleven up on its offer -- but Slurpees are coming to the nation's capitol anyway.

"We're going to have a summit, with or without any politicians," Margaret Chabris, a spokesperson for 7-Eleven, told Fox News. "We're bringing Slurpees to the people."

The "Slurpee Unity Tour" is currently en route to DC, attempting to bridge political gaps city by city. A caravan of Slurpee trucks left Dallas on Friday, and has been making its way across the country, stopping in several cities and eventually ending up in Washington, D.C. on November 18.

After Republicans handily won back the House in Tuesday's midterm elections, Obama was asked in a press conference last week if he would sit down with Republicans for a "Slurpee summit."

"I might," Obama replied. "They're delicious drinks."

Anyone lucky enough to stop by the trucks can have their choice of red, white or blue Slurpees, or the harmonious new flavor, "Purple for the People" - a bipartisan mix of red and blue.

Slurpee lovers can follow the tour's progress on its Facebook page. While the details of the final stop in D.C. are still unknown, Chabris is hopeful that the lure of the Slurpee will draw out all parties.

"We're building interest and excitment among the people," she said. "Maybe someone will show up for a purple slurpee - you never know."

The Slurpee is "non-partisan, and has been bringing people together for more than 40 years," said Joe DePinto, 7-Eleven, Inc.'s president and CEO, in a press release. The company has even offered to install Slurpee machines at the White House and in Boehner's Capitol Hill office.

Boehner, however, may prove more resistant to the summit than Obama.

"I don't know about a Slurpee," he told ABC in an interview Thursday, when asked if he and Obama would sit down together with the drink. "How about a merlot?"

"The parties need to get together and have meaningful dialogue," Chabris said in response. "The participants will need to be thinking clearly - so, perhaps a Slurpee would be a more appropriate choice."