Therese Coffey MP, a member of the committee, confirmed that the three had received invitations to give evidence over the phone hacking scandal. However, American citizen Rupert and James - who was born in Australia - could both decline to appear.
"Committee will move to summons stage if invitation declined (though we are advised power of summons does not apply to foreign nationals)," Coffey explained on Twitter.
News International chief executive Rebekah Brooks will be required to appear if the summons stage goes ahead.
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Rupert and James, chairman of News International, have spoken out in defence of Brooks, who was editor of the Sunday tabloid when it allegedly hacked into murdered schoolgirl Milly Dowler's phone.
An ITN News poll last night found that 82% of the public feel that Brooks should resign.
Senior Met Police officers who worked on the original investigation into phone hacking are currently appearing before the Home Affairs Committee.
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