"The outcome of those meetings will become clear in the near future," a United statement said. "In the meantime, fans are asked to be patient."
Rooney has told United he does not intend to extend his contract beyond the summer of 2012 because he is unhappy at the club's lack of ambition.
United manager Alex Ferguson met with the club's chief executive David Gill on Thursday, and both talked with Rooney's representatives.
"We are aware that there is intense public and media interest on the club at the moment, but there are no developments of note to report," United said.
Ferguson confirmed Tuesday that, sparking intense media debate and speculation about where the England international's future lies. That continued when Rooney released a statement Wednesday detailing his concerns with United's squad strength and claiming he had not been given any assurances by Gill about the club's future.
After United's Champions League victory over Bursaspor the same night, Ferguson said he was eager to see the issue resolved because the club did not want it to become a "saga."
Ferguson is unlikely to welcome any further questions about Rooney in the coming days. United next plays on Sunday against Stoke.
Rooney is currently sidelined with an ankle injury sustained in training on Tuesday.