Quaid has offered to team up with Sheen when his "My Violent Torpedo of Truth/Defeat is Not An Option" show blows through Quaid's newly adopted homeland and Hollywood refuge -- Vancouver, Canada.
And Sheen may be in need of a boost. On Tuesday, Sheen's tour made a stop in Boston. But despite the former "Two and a Half Men" star's antics and an appearance from Pauly D of "Jersey Shore" fame, some attendees still walked out during his performance. People live-tweeting the show reported that many attendees walked out and booed the star.
Maybe Sheen's focus is split -- after the show, the actor revealed to Boston radio station 98.5 WBZ-FM that he's in talks with his former bosses at CBS and Warner Bros.
"There's been discussions, but I was asked not to divulge anything," he said during the interview. He also griped about not getting paid his portion of syndication profits from "Two and a Half Men." Sheen made an ususual remark about his behavior as well. "Had they told me at the end of season 8 that that behavior wasn't going to be cool, I would have adjusted it, Sheen said, according to Entertainment Weekly. Still, he said that there's an "85-percent" chance he'll return to the show.
Perhaps Sheen will have better luck with Quaid.
Quaid suggested to Toronto's Globe and Mail that he be the opening act for Sheen. He would perform two songs he debuted at a Vancouver club last month that are slated for release later this month.
"I think it'd be a hoot," Quaid told the paper.
He's even offered to allow Sheen to sing backup on his song "Star Whackers," about that mysterious Hollywood cult Quaid and his wife Evi claim is trying to kill them, forcing them to flee to Canada.
"It's apropos to his situation, and apropos to my situation," Quaid said.
Quaid's offer may be generous, but Sheen isn't biting -- yet.
"We will not have any opening act or Randy on the tour," Sheen's spokesman Larry Solters told ABCNews.com.
Quaid's lawyer did not respond immediately to requests for comment.
Perhaps Sheen will change his mind by next month when he's scheduled to stop in Vancouver. After all, Quaid and Sheen go way back.
They've done three films together: the 1986 action horror thriller "The Wraith," 1987's "No Man's Land" and "Major League II" in 1994.
Like Sheen, Quaid has shown some serious acting chops, earning a Golden Globe for his portrayal of President Lyndon Johnson in a television movie and an Academy Award nomination for his role in "Brokeback Mountain." He's more widely known, though, for playing the buffoon, as Cousin Eddie in the "National Lampoon's Vacation" movies.
But Quaid's acting career, like Sheen's, has been overshadowed by his personal life and eccentric behavior.
Randy and Evi Quaidare wanted in California by police who say they broke into and trashed their former Santa Barbara home.
They were also accused of skipping out on several hefty hotel bills. They fled to Canada last month and were arrested in Vancouver on a warrant from California. They are now free on bond.
Bad Hotel Guests
Around the same time the Quaids were accused of trashing their old home, Sheen was accused of trashing his hotel room at New York's Plaza hotel during a raucous night of partying that ended with him in the hospital.
If Quaid and Sheen do get together in Vancouver, hotels beware.
Both these guys seem to love a good conspiracy theory.
Quaid and his wife say the cult that forced their flight to Canada -- the "Star Whackers" -- stalked them, bugged their phones and hacked into their computers.
The couple accused the "Star Whackers" of trying to kill them for their money. They also attribute the deaths of celebrities such as Heath Ledger, David Carradine and Chris Penn to the cult. Quaid said the listed causes of death -- drug overdose for Ledger and accidental asphyxiation for Carradine -- were "flat-out fraud."
"They follow us, they tail us," Randy Quaid said. "They tag our cell phone, they hack our computer."
Sheen has spoken publicly about his belief that the 9/11 attacks were an inside government job.
On Alex Jones' syndicated radio show in 2009, the actor demanded a face-to-face meeting with President Obama and urged individuals and organizations to "demand answers about the truth behind 9/11."
Both Quaid and Sheen are estranged from their brothers.
Quaid told ABC News that the "Star Whackers" have jeopardized his relationship with his younger brother, actor Dennis Quaid, who has asked his brother to seek therapy.
"It's been a little tense the past few years, but I love my brother very much. We're worried about him," Randy Quaid said. "He's being victimized by the same people."
Dennis was asked by People magazine to comment on Randy.
"I love my brother," Dennis said. "That's all I can say. I love my brother and I miss my brother. That's all I'm going to say."
Charlie Sheen's Strained Relationship with Brother Emilio Estevez
Sheen shares a similarly strained relationship with his brother, actor Emilio Estevez.
Sheen has poked fun at his older brother in his latest live shows. At Radio City Music Hall Friday, the former "Two and a Half Men" star invoked Estevez's name to rile up the crowd.
"Emilio, is that you?" Sheen called out from the stage. The audience broke into a chorus of "quacks," a dig at Estevez's role in the "Mighty Ducks" movies. Sheen quipped, "I told you to ban him."
Recently, while promoting his new film "The Way," Estevez admitted to the U.K. newspaper The Telegraph that he's never been able to understand his brother's bad behavior. He noted that they and their siblings, Renee and Ramon Estevez, were "raised under the same roof" in Malibu, Calif. and "we all had the same set of rules."
Estevez suggested that Sheen's substance abuse issues pulled them apart. "It really gives credence to this theory that [substance abuse] is genetic," he said, "and that sometimes it skips either a generation or siblings."
Maybe Quaid and Sheen could become the brothers they no longer have.