The 22-year-old lit up Ligue 1 last season with a series of impressive performances, prompting reported interest Everton, Aston Villa and Arsenal.
And the Mali international now looks set to complete his dream move to the Premier League.
"Yes, there are discussions." Doumbia told Le 10 Sport.
"My agent is taking care of that - it is nice but a transfer requires all parties agreeing to it and now we are talking with Rennes .
"And this is not that I don't want to play with Rennes but this is the Premier League, it is a league that really attracts me. I think I have a playing style suited to the Premier League,"
Doumbia, who has two years remaining on his current deal at Rennes, also hinted that the move could be finalised in the near future.
He added: "I am due to resume training on Monday, but I hope everything will be fixed shortly."
Doumbia did not name the club in question but, according to RMC Sport, he may have been referring to either the Toffees or Villa - the radio station claims that one of the two have submitted a €2.5 million (£2.5m) offer and that Arsenal are also monitoring the situation.