According to New York Post, Facebook social networking site could soon be entering the digital music business, in the wake of News Corp’s launch of MySpace Music last month.

Facebook has been talking to existing digital music services like Rhapsody.com, iMeem.com, iLike.com and Lala.com about providing an integrated music service on the site.

No decision has been made, though it is clear Facebook is keener to outsource than to build its own service.