According to Mehmet Dalman, the ball is firmly in the Wales captain's court.
Admitting that he would be interested in bringing Ramsey back to the Bluebirds, the chairman said the move was now down to the former Arsenal man.
MEHMET DALMAN:
"We'll wait and see," he told BBC Radio Wales when quizzed on the potential deal. "We'd love to see him back in Cardiff. But really it's his call more than ours.
"Ramsey will do what he wants to do. If he decides to look at us, we'll welcome him with open arms. I can't really say much more than that."
While, owing to injuries, Ramsey may not quite be the player he once was, when firing on all cylinders he still oozes class and has natural ability that few if any Championship players could hope to match.
He has struggled in a Wales shirt recently, being overrun in midfield, but if moved to the number 10 role and given freedom to create, he could prove a perfect fit for Bulut's side, hitting teams in transitions and creating goal-scoring opportunities with dangerous balls forward and into the box.
As he has proved with his previous teams, under Bulut Cardiff will create chances and score badly-needed goals. Who better to set them up than Ramsey?
Then when you consider shirt sales, ticket sales and the impact it could have on team morale and the club's allure, such a move just makes sense.
But, of course, it's never that straightfoward. A player of the Welshman's experience and talent is bound to have many other potential suitors and he may opt to make a return to the Premier League or continue his European adventure rather than head to the Championship.
AaRON RAMSEY:
"I'm excited," he said last week. "I still have enough football left in me and there's a lot still to play for, internationally and club-wise and that gives me a lot of incentive to keep performing at the highest level I possibly can."
Ramsey explained that while he remained unsure about what the future holds, returning to the capital would "mean a lot" to him, as he told reporters: "They gave me an opportunity as a young boy and to go on and to become a professional. Maybe one day I will go back and it'll mean a lot.
"I've always said that one day I'd love to go back there. I think there are a few things that need sorting out over the next few weeks, but the most important thing for me is to enjoy my time with family, and make the most important decision for us.
"I think there are three or four weeks now to enjoy and put the feet up. It's been a long season with the World Cup and everything sandwiched in between."
And asked directly if a move to the capital could happen this summer, he simply replied: "Who knows?"
It's clear that, whatever Ramsey decides to do next, family considerations will be at the heart of it, with the 82-cap international admitting that he found being away from his wife and children, who have been based in south Wales, "the most challenging thing" about his time at Nice.
"I've been away from my family and seeing the kids growing up, missing out, it's always difficult," he said ahead of Wales' Euro 2024 qualifiiers against Armenia and Turkey. "[It's] difficult for anyone to go through, I imagine.
"Whatever we do going forward, we will be reunited and back together."
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