In September, the scandal over the BBC's handling of sex-abuse allegations against Savile erupted amid revelations that "Newsnight" pulled a report into allegations against him prior to a planned tribute by the BBC to the late TV presenter.
Entwistle and others were called in front of lawmakers to answer for the scandal surrounding Savile, who authorities say was suspected of having sexually abused young women and girls, sometimes on BBC premises.
"Consideration is now being given to the extent to which individuals should be asked to account further for their actions and, if appropriate, disciplinary action will be taken," the BBC said.
Boaden was director of BBC News when the decision was made to pull the Savile report, the BBC reported.
"Ms. Boaden has overall editorial and managerial responsibility for UK-wide and global news and current affairs on radio, television and online," the BBC said.
The moves came as the former director general of the BBC, Mark Thompson, started his first day of work Monday as chief executive of The New York Times.
"Look, like many people, I'm very saddened by recent events at the BBC, but I believe the BBC is the world's greatest broadcaster and I've got no doubt it will once again regain the public's trust both in the UK and around the world," he told CNN as he entered the newspaper's lobby in Midtown Manhattan. "It is a very important institution, and I believe it is full of people with real integrity and talent, and I have no doubt it will get back on its feet really soon."
Referring to the upheaval, Thompson predicted that "it will not in any way affect my job, which I'm starting right now."