Story highlights Anti-Donald Trump conservatives hope a viable third-party candidate could offer an alternative to Trump and Hillary Clinton 
 
 Romney in the past has said he is not interested in an independent run 
 
 Washington (CNN) Mitt Romney met privately with leading conservative columnist William Kristol this week to discuss how best to get an independent candidate into the presidential race. 
 
 The meeting on Thursday comes as anti-Donald Trump conservatives cling to hope that a viable third-party candidate could offer an alternative to the billionaire businessman and the likely Democratic nominee, Hillary Clinton. 
 
 Kristol, the editor of The Weekly Standard, told CNN Special Correspondent Jamie Gangel that he's working to get a strong independent candidate and wanted Romney's thoughts on who it might be, how it could be done and whether Romney would help -- to which Romney agreed. 
 
 Kristol then suggested that Romney should consider whether he "might be the candidate" -- although Kristol qualified the remark by saying he's not "actively working to get him to run." 
 
 A message left with a spokeswoman for Romney was not immediately returned. The meeting was first reported by The Washington Post Friday night. 
 
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 Former GOP presidential nominee Mitt Romney in 2013 at the Conservative Political Action Conference. (Nicholas Kamm /AFP/Getty Images) 
 
 In spite of his insistence that he will not run, Mitt Romney is being courted this week by a leading conservative commentator to reconsider and jump into the volatile 2016 presidential race as an independent candidate. 
 
 William Kristol, the longtime editor of the Weekly Standard magazine and a leading voice on the right, met privately with the 2012 nominee on Thursday afternoon to discuss the possibility of launching an independent bid, potentially with Romney as its standard-bearer. 
 
 “He came pretty close to being elected president, so I thought he may consider doing it, especially since he has been very forthright in explaining why Donald Trump and Hillary Clinton should not be president of the United States,” Kristol said in a phone interview Friday, during which he confirmed that he and Romney had a “little meeting in Washington.” 
 
 But knowing Romney’s reluctance, Kristol told Romney that if he remains unwilling to run, many top conservatives would appreciate having the former Massachusetts governor’s support for an independent candidate, should Kristol and other right-leaning figures enlist a willing contender. 
 
 “Obviously, if there were to be an independent candidacy, Romney’s support would be very important,” Kristol said. “I wanted to get his wisdom on whether it was more or less doable than I thought.” 
 
 “It was not like, ‘You should do it.’ I wouldn’t presume he’d do it. But I’m hoping that he begins to think about it a little more,” Kristol said. “His name is one of the names that is part of the discussion.” 
 
 
 
 William Kristol, the longtime editor of the Weekly Standard, is leading an effort to draft an independent candidate for president. (Chip Somodevilla/Getty Images) 
 
 The closed-door huddle was held at the J.W. Marriott hotel in Washington, which is just blocks from the White House. It was requested by Kristol, according to a person close to Romney who requested anonymity to discuss the session. Kristol said the conversation was held over glasses of water. 
 
 Kristol has been working informally for weeks to seek out a prominent political or military figure who could be drafted into the general-election contest, such as retired Marine Gen. James N. Mattis, who recently declined such overtures. 
 
 Later Thursday, both Kristol and Romney attended an awards gala for American Friends of The Hebrew University, an area group that supports the Jerusalem-based school. 
 
 At the dinner, when asked in front of the attendees about possibly running as an independent this year, Romney said he was not interested. 
 
 “No, I’m certainly going to be hoping that we find someone who I have my confidence in who becomes nominee. I don’t intend on supporting either of the major-party candidates at this point,” Romney said, according to the Washington Examiner. 
 
 But, Romney added, “I am dismayed at where we are now, I wish we had better choices, and I keep hoping that somehow things will get better, and I just don’t see an easy answer from where we are.” 
 
 A Romney spokesperson was not available for comment Friday evening.
– Mitt Romney and William Kristol met privately "over glasses of water" Thursday to discuss running a third-party candidate and the possibility that candidate might be Romney himself, the Washington Post reports. Kristol, a conservative commentator and editor of the Weekly Standard, has been a major part of the #NeverTrump movement, according to Time. “[Romney] came pretty close to being elected president, so I thought he may consider doing it, especially since he has been very forthright in explaining why Donald Trump and Hillary Clinton should not be president of the United States,” Kristol tells the Post. Romney announced this week that he won't be supporting Trump for president. The Washington Examiner reports Romney sounded much like an independent candidate during an awards gala for American Friends of the Hebrew University this week. "I wish we had better choices, and I keep hoping that somehow things will get better, and I just don't see an easy answer from where we are," Romney said during the event. But if Romney won't run—and he's said recently he won't—Kristol still wants his support for an eventual third-party candidate. Kristol says he has a list of potential candidates he's working on, and he tells CNN that Romney has agreed to help if they're able to find someone to run.