Keane's walkout on the eve of the 2002 World Cup in Japan and South Korea, where he famously compared the team's training-ground to a car park, has gone down in Irish folklore, and O'Neill has admitted that allowing him to return to the fold was one of his biggest decisions as boss.
"I'm going to meet with Martin over the next couple of weeks. He knows that I still have that ambition to get back into (club management)," Keane said, quoted by the Times.
The former Ireland captain has managed at Sunderland and Ipswich Town. Sunderland were 23rd in the Championship when Keane took charge of the club shortly after hanging up his boots as a player.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
He secured promotion to the Premier League in his first season in charge, but resigned in his second season as a premiership manager with the club in the relegation zone.
"I'm planning to meet the manager just to have a chat, to see where he stands, but I think that Martin knows I have that ambition to get back in the ring," Keane said.
"Will this get me back in the window? I don't know, but I'm loving my role with Ireland. It's been everything I hoped it would be and I've been learning a lot from Martin.
"I'm not really one for networking or applying for jobs, but I'm enjoying my role here. I certainly want to stay on for the Euros, then we'll play it by ear," he added.
(Reporting by Simon Jennings; editing by Amlan Chakraborty)
