The Republic of Ireland pair have frequently been linked with moves to the Stadium of Light, but one national newspaper now claims Keane is ready to make a £10m offer for the pair.
Reading are believed to be ready to allow some of their most established players to move on following their relagation to the Championship in May.
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Midfielder Hunt and striker Doyle are two of the Royals' squad who are said to be keen on continuing their careers in the Premier League.
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