Rahman is one of Jose Mourinho's top targets this summer as Filipe Luis prepares to rejoin Atletico Madrid.
Italian journalist Gianluca Di Marzio claims that Chelsea have held talks with the defender over a £10.5million move, although Augsburg are holding out for £18m.
It is said that Mourinho has offered Rahman a long-term deal worth £1.2m-per-year, but the Ghana international has apparently snubbed the contract in favour of a move to Roma.
The Italians have tabled a deal worth £1.5m-per-year and have also guaranteed Rahman first-team football, with Cesar Azpilicueta currently occupying the left-back spot at Stamford Bridge, although they are yet to agree on a price with Augsburg.
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Baba Rahman is apparently close to joining Roma
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