The Blues have an offer they are happy with from their former manager and the Serie A giants.
Chelsea have accepted a transfer bid for Tammy Abraham from Roma in the region of €40 million (£34m/$47m) that will allow the Blues to have a buy-back clause, Goal understands.
Roma's general manager Tiago Pinto is keen to complete the deal quickly, with Edin Dzeko set to leave for Inter as a replacement for Chelsea-bound Romelu Lukaku.
However, the 23-year-old has yet to accept personal terms despite a conversation with Jose Mourinho and amid continued interest from Arsenal.
What does the buy-back clause mean?
A buy-back clause in the transfer bid for Abraham will give Chelsea the option to re-sign their striker in the future through a fixed fee.
That fixed fee is thought to be large, but it keeps the Blues' interest in the player alive.
Even though Abraham has struggled to make a breakthrough under current boss Thomas Tuchel, a future Blues boss may want to see the homegrown star back in west London.
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