According to the The Los Angeles Times, Facebook CEO Mark Zuckerburg and Apple CEO Steve Jobs earlier this month had lunch together, over which they discussed the possible future of Ping with Facebook integration.

While both companies have reportedly yet to reach a decision over the matter, the publication notes the two were spotted having dinner in Palo Alto earlier this month.

They are two of Silicon Valley’s most famous founders: Jobs created the world’s must-have gadgets, Zuckerberg the world’s most popular social networking service. These days they are often mentioned in the same breath. Now apparently the two also recently broke bread.

Apparently Jobs invited Zuckerberg for dinner at his house to talk about Ping two weeks ago. That’s when a tipster spotted them on a stroll in Palo Alto.

While not conclusive evidence itself that Facebook is heading to Apple’s new social network centered around music sometime in the future, MacRumors wistfully notes that one Facebook executive is very optimistic.

While the two companies have apparently yet to reach an agreement for any level of integration with Ping now six weeks old, one Facebook executive recently noted that he is “very confident” that a deal will be struck.

[LAT via MacRumors]