The Daily Mail reports that Cherries boss Eddie Howe has been frustrated in his attempts to bring the Dutch defender back to the Vitality Stadium on a permanent deal, following his return to West London just weeks ago.
Ake, 21, became a vital part in Bournemouth's versatile setup since October having broken into Howe's starting XI, having initially made the loan move from the Blues in the summer.
Scoring three goals in 10 Premier League appearances, Ake was also a defensive lynch-pin on the south coast.
Since Antonio Conte made the surprise move to recall the defender from his loan spell however, the Cherries' domestic form has faltered, taking just a point from their last two games and being dumped out of the FA Cup by Millwall.
Ake impressed in Chelsea's 3-0 win over Brentford in the same competition over the weekend, but nonetheless he is set for a battle to break into the Chelsea starting XI barring injuries.
Howe has attempted to try his hand with Ake again, with The Mirror reporting Chelsea's interest in Schalke 04 full-back Sead Kolasinac, but it seems his efforts will be to no avail.
It is not clear how much Bournemouth were prepared to pay for the defender, but any hopes of Cherries fans seeing Ake in their shirt again seem to be very unlikely...at least for now.
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